Construct Functions Worksheets Grade 8

1. Liam is tracking his savings for a new video game system. He starts with $120 in his savings account and adds $15 each week from his allowance. Write an equation in slope-intercept form that represents the total amount of money, y, Liam has after x weeks.
2. A local coffee shop is tracking the relationship between the outdoor temperature and their iced coffee sales. They found that when the temperature is 68°F, they sell 45 iced coffees, and when the temperature is 86°F, they sell 75 iced coffees. Assuming this relationship is linear, write an equation in slope-intercept form that represents the number of iced coffees sold (y) based on the temperature in °F (x).
3. Mere earns a base salary of $40 per day plus $8 for each item she sells. Write a linear function f(x) that represents her total daily earnings when she sells x items.

…and 4 more problems

1. A scientist is studying bacterial growth in a lab. The number of bacteria, N, after t hours is given by the linear function N(t) = 12,500t + 8,000. How many hours will it take for the bacteria population to reach 158,000?
2. A taxi company charges a flat fee of $6 plus $1 per mile. Write a linear function f(x) to represent the total cost for x miles.
3. (2x + 5) - (x - 3) = ?

…and 5 more problems

1. Liam is designing a custom skateboard ramp. The ramp's height increases at a constant rate of 0.25 feet for every 1 foot of horizontal distance. If the ramp starts at ground level (0 feet) and needs to reach a height of 4 feet, how many feet horizontally from the starting point will the ramp reach this height?
2. Noah earns $9 per hour plus a one-time bonus of $15. Write a function f(x) for his total earnings after working x hours.
3. Aisha is comparing two internet plans. Plan A has a $25 monthly fee plus $0.50 per gigabyte of data used. Plan B has a $40 monthly fee plus $0.25 per gigabyte of data used. After how many gigabytes of data usage will both plans cost the same amount?

…and 6 more problems