Question

Franco begins to save for a new Lego set that costs $65. His parents gave him $35 towards the cost, and he plans to save $5 per week.

Let w = the number of weeks he has been saving.
Let s = the total amount in dollars that he has saved.
Q#1: Write an equation modeling the total amount he has saved.

Donna receives a $100 gift card to MovieStop. Her Blu-ray player is able to play both Blu-rays (b) and DVDs (d), so she would like to get a combination of both. Each Blu-ray costs $25.99, and DVDs cost $15.99 each.
Q#2: Write an equation modeling the number of Blu-rays, b, and DVDs, d, that Donna can purchase with her gift card.

Mr. Liu is driving with 10 gallons of gas in his tank. His car uses 1.5 gallons of gas per hour.
Q#3: Which of the following functions g(h) Mr. Liu can use to determine the number of hours, h, he can drive before his car runs out of gas (g(h) = 0)?
A) g(h) = -10h + 1.5
B) g(h) = 10h - 1.5
C) g(h) = 1.5h + 10
D) g(h) = -1.5h + 10

Answer 1

Franco's savings over time can be modeled by the equation s = 35 + 5w. Donna can use the equation 25.99b + 15.99d = 100 to calculate her movie purchases. Mr. Liu's driving time before running out of gas is determined by g(h) = -1.5h + 10.

Step-by-step explanation:

For Q#1: To model the total amount Franco has saved over time, we need to account for the initial amount his parents gave him and the amount he saves each week. The equation is s = 35 + 5w, where s represents the total savings and w represents the number of weeks.

For Q#2: Donna's purchases must total no more than $100. The equation to model the number of Blu-rays and DVDs she can purchase is: 25.99b + 15.99d = 100, where b equals the number of Blu-rays and d equals the number of DVDs.

For Q#3: To find how long Mr. Liu can drive before running out of gas, we need a function that starts with 10 gallons and decreases by 1.5 gallons per hour. The correct function is g(h) = -1.5h + 10, where g(h) is the number of gallons left and h is the number of hours driven.