IM Alg1.2.2 Practice: Writing Equations to Model Relationships (Part 1)

Large cheese pizzas cost $5 each and large one-topping pizzas cost $6 each.
Write an equation that represents the total cost, [math]T[/math], of [math]c[/math] large cheese pizzas and [math]d[/math] large one-topping pizzas.
Jada plans to serve milk and healthy cookies for a book club meeting.
[size=150]She is preparing 12 ounces of milk and 4 cookies per person. Including herself, there are 15 people in the club. A package of cookies contains 24 cookies and costs $4.50.[br][br]A 1-gallon jug of milk contains 128 ounces and costs $3. Let [math]n[/math] represent number of people in the club, [math]m[/math] represent the ounces of milk, [math]c[/math] represent the number of cookies, and [math]b[/math] represent Jada's budget in dollars.[/size][br][br]Select [b]all[/b] of the equations that could represent the quantities and constraints in this situation.
A student on the track team runs 45 minutes each day as a part of her training.
[size=150] She begins her workout by running at a constant rate of 8 miles per hour for [math]a[/math] minutes, then slows to a constant rate of 7.5 miles per hour for [math]b[/math] minutes.[/size][br][br]Which equation describes the relationship between the distance she runs in miles,[math]D[/math] , and her running speed, in miles per hour?
Elena bikes 20 minutes each day for exercise.
[size=150]Write an equation to describe the relationship between her distance in miles,[math]D[/math] , and her biking speed, in miles per hour, when she bikes:[/size][br][br]at a constant speed of 13 miles per hour for the entire 20 minutes[br]
at a constant speed of 15 miles per hour for the first 5 minutes, then at 12 miles per hour for the last 15 minutes[br]
at a constant speed of [math]M[/math] miles per hour for the first 5 minutes, then at [math]N[/math] miles per hour for the last 15 minutes[br]
The dot plot displays the number of marshmallows added to hot cocoa by several kids.
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[/img][br]What is the MAD of the data represented in the dot plot?
Here is a data set: 5 10 10 10 15 100
[size=150]After studying the data, the reasearcher realized that the value 100 was meant to be recorded as 15. [/size][br]What happens to the mean and standard deviation of the data set when the 100 is changed to a 15?[br]
For the original data set, with the 100, would the median or the mean be a better choice of measure for the center? Explain your reasoning.[br]
A coach for a little league baseball team is ordering trophies for the team.
[size=150]Players on the team are allowed to choose between 2 types of trophies. The gold baseball trophies cost $5.99 each and the uniform baseball trophies cost $6.49 each. The team orders [math]g[/math] gold baseball trophies and [math]u[/math] uniform baseball trophies.[/size][br][br]Write an expression that could represent the total cost of all of the trophies.   
The robotics team needs to purchase $350 of new equipment.
[size=150]Each of the [math]x[/math] students on the team plans to fundraise and contribute equally to the purchase.[br][/size][br]Which expression represents the amount that each student needs to fundraise?  
In a trivia contest, players form teams and work together to earn as many points as possible for their team.
[size=150]Each team can have between 3 and 5 players. Each player can score up to 10 points in each round of the game. Elena and four of her friends decided to form a team and play a round.[br][br]Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents.[br][/size][br]the number of points that Elena’s team earns in one round
the number of points Elena’s team earns in one round if every player scores between 6 and 8 points
the number of points Elena’s team earns if each player misses one point
the number of players in a game if there are 5 teams of 4 players each
the number of players in a game if there are at least 3 teams
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Information: IM Alg1.2.2 Practice: Writing Equations to Model Relationships (Part 1)