[size=150]A granola bite contains 27 calories. Most of the calories come from [math]c[/math] grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.[br][br]The equation [math]4c+5=27[/math] represents the relationship between these quantities.[br][/size][br]What could the 5 represent in this situation?[br]
Priya said that neither 8 nor 3 could be the solution to the equation. Explain why she is correct.[br]
Find the solution to the equation.[br]
[size=150]Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.[/size][br][br]Write an equation that represents Jada’s take-home earnings in dollars, [math]E[/math], if she works at the bookstore for [math]h[/math] hours in one day.[br]
One day, Jada takes home $90.45 after working [math]h[/math] hours and after paying the bus fare. Write an equation to represent this situation.
Is 4 a solution to the last equation you wrote? What about 7?[list][*]If so, be prepared to explain how you know one or both of them are solutions.[/*][*]If not, be prepared to explain why they are not solutions. Then, find the solution.[/*][/list]
In this situation, what does the solution to the equation tell us?[br]
[size=150]Jada has a second option to earn money—she could help some neighbors with errands and computer work for $11 an hour. After reconsidering her schedule, Jada realizes that she has about 9 hours available to work one day of the weekend.[/size][br][br]Which option should she choose—sorting books at the bookstore or helping her neighbors? Explain your reasoning.
[size=150]One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from [math]p[/math] grams of protein and [math]f[/math] grams of fat.[br][br]The equation [math]4p+9f=60[/math] represents the relationship between these quantities. [br][/size][br][size=150]Determine if this pair of values could be the number of grams of protein and fat in the snack. Be prepared to explain your reasoning.[br][/size][br]5 grams of protein and 2 grams of fat
10.5 grams of protein and 2 grams of fat
8 grams of protein and 4 grams of fat
If there are 6 grams of fat in the snack, how many grams of protein are there? Show your reasoning.[br]
In this situation, what does a solution to the equation [math]4p+9f=60[/math] tell us? Give an example of a solution.[br]