Linear Model

The cost of hiring a private tutor is modeled by the function C(n)=32n+20. How many hour did the tutor work to earn $212?

• 4 hours

• 6 hours

• 5 hours

• 7 hours

• Hot dogs cost $2.

• Peanuts cost $3.

• The vendor wants to sell more than $96 worth of snacks.

• The vendor wants to sell at least $96 worth of snacks.

Ashley has a job as an assistant for a basketball program at her community center. She is paid a flat rate of $15 for each session plus an additional $6 for each student who shows up at that session. Which one of the following functions represents Ashley’s earnings, , per session?

• E(x) = x + 15

• E(x) = 15x

• E(x) = 6x + 15

• E(x) = 15x + 6

Which of the following equations represents the line that has a y-intercept of (0, -2) and x-intercept of (3 , 0)?

Which is the equation of the graph?

• 
• 
• 
• 

• There is a $5 initial charge and an additional charge of $2 per copy.

• There is a $2 initial charge and an additional charge of $5 per copy.

• The company charges $5 for every 2 copies.

• The company charges $2 for every 5 copies.

• Joe spent $9

• If Joe bought only Spaghetti O's, he could buy 9 cans.

• If Joe bought only Ramen noodles, he could buy 9 packages.

• Joe brought in 9 items

• 0 days to 24 days.

• 0 days to 48 days.

• 0 gallons to 6 gallons.

• 6 gallons to 48 gallons.

A dietician is creating a granola bar with at most 180 calories. The graph shows the relationship between the number of calories from proteins or carbohydrates and calories from fat. Which of the following statements is NOT true?

• A situation like this will always have a decreasing slope because the more of x that is used/bought/included, the less of y can be used/bought/included. In this case, the more calories of protein that are used, the less calories of fat can be used to stay within 180 calories.

• The graph is shaded below the line because the context represents an inequality due to the fact that the granola bar was to be at most 180 calories and there are many combinations that could result in 180 calories or less.

• The graph is shaded below the line because the slope of the line is negative so combinations must be less than the line.

• The graph is shaded below the line because the line represents the combinations that are 180 calories but the dietician would be okay with combinations that result in granola bars that are less than 180.