IM Alg1.5.2 Lesson: Patterns of Growth
Which one doesn't belong?
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[/img]
A food company currently has 5 convenience stores. It is considering 2 plans for expanding its chain of stores. Plan A: Open 20 new stores each year. Use technology to complete a table for the number of stores for the next 10 years, as shown here.
What do you notice about the difference from year to year?[br]
If there are [math]n[/math] stores one year, how many stores will there be a year later?
What do you notice about the difference every 3 years?[br]
If there are [math]n[/math] stores one year, how many stores will there be 3 years later?
Plan B: Double the number of stores each year. Use a technology to complete a table for the number of stores for the next 10 years under each plan, as shown here.
What do you notice about the difference from year to year?[br]
What do you notice about the factor from year to year?[br]
If there are [math]n[/math] stores one year, how many stores will there be a year later?[br]
What do you notice about the difference every 3 years?[br]
What do you notice about the factor every 3 years?[br]
If there are [math]n[/math] stores one year, how many stores will there be 3 years later?[br]
Suppose the food company decides it would like to grow from the 5 stores it has now so that it will have at least 600 stores, but no more than 800 stores 5 years from now.
Come up with a plan for the company to achieve this where it adds the same number of stores each year.
Come up with a plan for the company to achieve this where the number of stores multiplies by the same factor each year. (Note that you might need to round the outcome to the nearest whole store.)
Here are verbal descriptions of 2 situations, followed by tables and expressions that could help to answer one of the questions in the situations.
[list][*][size=150]Situation 1: A person has 80 followers on social media. The number of followers triples each year. How many followers will she have after 4 years?[br][/size][/*][*][size=150]Situation 2: A tank contains 80 gallons of water and is getting filled at rate of 3 gallons per minute. How many gallons of water will be in the tank after 4 minutes?[br][/size][/*][/list][size=150][br]Match each representation (a table or an expression) with one situation. Be prepared to explain how the table or expression answers the question.[br][/size][br][math]80\cdot3\cdot3\cdot3\cdot3[/math]
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sLfC45saHmZaQggNWjCkCxdpjMLdh+0FP5ecGRDy0s1Dfy3E12+INhexsBqIG8NNPlLo2k0DbRzRsAIDCcBM43hXHfL2gj0TMBMo2d0NtAIDCcBM43hXHfL2gj0TOB/SkSGLKYoLaUAAAAASUVORK5CYII=[/img]
[math]80+3+3+3+3[/math]
[math]80+4\cdot3[/math]
[img]data:image/png;base64,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[/img]
[math]80+3+3+3+3[/math]
IM Alg1.5.2 Practice: Patterns of Growth
A population of ants is 10,000 at the start of April. Since then, it triples each month. Complete the table.
What do you notice about the population differences from month to month?[br]
If there are [math]n[/math] ants one month, how many ants will there be a month later?
A swimming pool contains 500 gallons of water.
[size=150]A hose is turned on, and it fills the pool at a rate of 24 gallons per minute. [/size][br]Which expression represents the amount of water in the pool, in gallons, after 8 minutes?
The population of a city is 100,000. It doubles each decade for 5 decades.
Select [b]all[/b] expressions that represent the population of the city after 5 decades.
The table shows the height, in centimeters, of the water in a swimming pool at different times since the pool started to be filled.
[center][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKMAAAEkCAYAAABDroFUAAAKYUlEQVR4nO2dwZGrvBoFqXrblwPhEA5hEZIiuWv9C8AGoQMyxsfC013F5g7jsdsNCO7iayJAJTTffgMAM8QI1UCMUA3ECNVAjFANxAjVQIxQDcQI1UCMUA3ECNVAjFANmxj//7+Gjc2yFcUI14BLDTGawaWGGM3gUkOMZnCpIUYzuNQQoxlcaojRDC41xGgGlxpiNINLDTGawaWGGM3gUkOMZnCpIUYzuNQQoxlcaojRDC41xGgGlxpiNINLDTGawaWmuhhD38amaWLT9jHY/qqPUy5DH9umiU3Txv4NKWfdDl0z/l43nP/jBVQX4+ODN128/KNf9KW+wzdjPOu2LMYQ+3bcrz35JquL8aP88RjPcv8Yh+5xSRjmy8PiEvE8StdvfnMpUa+TfDFbYU85TTcsvtDltjhDpD9Pxc/vI/kcr/J2jMPyfWbi3Pkc6jK9/C6ato99t/5elm5X++ZcL7ZXr+qfizH75ettfuMbYXuvs5D6VoxpaKns3O9+JcZ9B0efIxfjKi7xnRzvc6MYN0fY44geYpfssxfjZp/FmeEwxtVrLc8oz/2ev7re7/n33l/HXuVy6+CFz7Hjdhn0Nsb58z+/t5zv+i7TmS9+98hUR28uoMy/nY7x4AzeDbl9zkd52Zox/beCz5G6zR9kz9A2MS5OdXu+ifGTMY5/4Xk2eCNIYtT8Xox7l5LFF5aLTEoM4bkuy75GOR+LseBzyJvD0st0YYxnn0f+TIxy8b6Sk5zdNmeI/O/lf17ZmfGVz/Hwn7/xOBdjeqPz+mOo34kxpjK62OceZSyjPboTlbGef973yRiLP8fqScA6yLbvT16mY1wf7DXFCFmqc7lcgsS4iNn/gJ0YzdTmUj5D/PD/Q+cgRjN1uQxx6LbrzLN3w+9CjGZwqSFGM7jUEKMZXGqI0QwuNcRoBpcaYjSDSw0xmsGlhhjN4FJDjGZwqSFGM7jUEKMZXGqI0QwuNcRoBpcaYjSDS01xjGxsju0wxn///l0V/58Hl5qcG2L8ILjUEKMZXGqI0QwuNcRoBpcaYjSDSw0xmsGlhhjN4FJDjGZwqSFGM7jUEKMZXGqI0QwuNcRoBpcaYjSDSw0xmsGlhhjN4FJDjGZwqSFGM7jUEKMZXGqI0QwuNcRoBpcaYjSDSw0xmsGl5idiTId3f2dwRBkul7tjiY8GwWf2cYyFuX2MQ5eZhfeFgTqlOFyGvh0dDF0+xqHbP2inEJ8jFzvLxKx7xxj62GZn5/lHjZVidSlifMQqfy09oD0H+a1jHC9FqexxmGKtJ8caYkxHtK0nYo3+0ilZoW8/vgS6f4wbQXmZtVBDjNt9tmOQ04M5f+Bfy61jXK8XH/9KjDMlMcYktHS9mNvnQ9w6Ri7TBxTGuF5nc5k+Bzcw+5w5M0ZuYE4ySeLRTp5sjCGG5YE6XZZXZ8JpHcmjnZeZAvzi0O5X+HqM8w3L0QPt1X6eK80PxHgvcKkhRjO41BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKkhRjO41BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKkhRjO41BCjGVxqiNEMLjXEaAaXmuIY2dgcW1GMcA241BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKkhRjO41BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKkhRjO41BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBS8xMxjvOSm49Pir+Cy10+pp/mJp8mE2ezU1THYefzz9Kh5+uXG8cBr1/vOue3jzH07TjWt3Tq/Je51OXQjbO2c0Pgxx1itzuedwzxEeAUm5ySPP+9S978ltvH+OAvxjijYgx9bHechL7dxDV0jQzuceB/CGI0Y40xHXS+imy6hKdx7XgcuvUleveSfgJiNGONccW8NpwdjTFugho6sf5MX24K/cIzJTGa+V6MMVkTJuvFmdIY43zjyA3MFmIsCGgZ4OuX6e3LlYdbAjGaqefM+PoNzPblODPmIcZNjCEs/2E6Ey5Dm+KUj3ZWPw9x/XLJ714AMZrxxbh+mC1vNpIH2atdppuUtg/bO/O955En+Z0YbwIuNcRoBpcaYjSDSw0xmsGlhhjN4FJDjGZwqSFGM7jUEKMZXGqI0QwuNcRoBpcaYjSDSw0xmsGlhhjN4FJDjGZwqSFGM7jUEKMZXGqI0QwuNcRoBpcaYjSDSw0xmsGlhhjN4FJTHCMbm2MrihGuAZcaYjSDSw0xmsGlhhjN4FJDjGZwqSFGM7jUEKMZXGqI0QwuNcRoBpcaYjSDSw0xmsGlhhjN4FJDjGZwqSFGM7jUEKMZXGqI0QwuNcRoBpcaYjSDSw0xmsGlhhjN4FJDjGZwqSFGM7jUEKMZXGpuH+M48/hgcmhFuFw+vWQmzSaTVPP7PaeyXjnGd497xxj62K4GdU8CKw7S4TL07ehAjT0euoMB50Psmjb2YZxRTYwnuXo6/NVYXYoYH7EeQoxvEfr24Kj/LjXEOHTrS7SOjRjfwCvvDDXEuN1HLW2I8TS1nxVjrDDGuLe0IcZT1L5WnKkxxnG/Nm6bI8aXuUuIMdYZI2fGixgX4/cIMcYaYgwxLNuanjnmgyPGYjYPvB9b7pJTB1+Pcb5hWWz6KQ8x/jS41BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKkhRjO41BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKkhRjO41BCjGVxqiNEMLjXEaAaXGmI0g0tNcYxsbI6tKEa4BlxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKkhRjO41BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKkhRjO41BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKm5fYzjiN/FpkeEVsHlLh9TUvXw8v0pqot9jtxN44DXr3fdeOV7xxj62C2/gd3ZyXVwqcuhi03bxxD62GZjHGK3O+54DLEbpoP6KMb5773/zrPcO8YN01Fe8dnxIy5VjKGPbeGZqyTG0LcfdftTMY7D0OsdfB6jOcZ00PnOWa0kxnRJdPUV6AdiHGJXILsWrDGumD3lz5RFl+n1L1y+Rv+BGBdMgv7MmnGmKMb4WFPn+nk5xjhfibiBkVwt6Gq+GuN0dswdrGdiHA/+65ZFxGiGM6Pm3jGGIQ7LL+CvPdqZETGGsJIzPmkQ6+psjCufIYYPu751jOOR+dk7vKvxxbi4sSv4D4FsjMs1eHpnLs6w73DrGO8ILjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKkhRjO41BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSQ4xmcKkhRjO41BCjGVxqiNEMLjXEaAaXGmI0g0sNMZrBpYYYzeBSUxwjG5tjO4wR4FsQI1QDMUI1ECNUAzFCNRAjVAMxQjUQI1QDMUI1ECNUAzFCNRAjVMN/n3kLosBWV/wAAAAASUVORK5CYII=[/img][/center][br]Does the height of the water increase by the same amount each minute? Explain how you know.
Does the height of the water increase by the same factor each minute? Explain how you know.[br]
Bank account C starts with $10 and doubles each week.
Bank account D starts with $1,000 and grows by $500 each week. When will account C contain more money than account D? Explain your reasoning.
Suppose C is a rule that takes time as the input and gives your class on Monday as the output.
[size=150]For example, [math]C(10:15)=\text{Biology}[/math].[/size][br][br][size=100]Write three sample input-output pairs for [math]C[/math].[/size]
Does each input to [math]C[/math] have exactly one output? Explain how you know.[br]
Explain why [math]C[/math] is a function.[br]
The rule that defines function f is f(x)=x²+1. Complete the table.
Then, sketch a graph of function f.
The scatter plot shows the rent prices for apartments in a large city over ten years.
The best fit line is given by the equation [math]y=134.02x+655.40[/math], where [math]y[/math] represents the rent price in dollars, and [math]x[/math] the time in years.
Use it to estimate the rent price after 8 years. Show your reasoning.
Use the best fit line to estimate the number of years it will take the rent price to equal $2,500. Show your reasoning.[br][br]