Question

Nicole wants to join a fitness club. The graph below shows how the cost of joining Pump-It-Up Fitness depends on the number of days you attend the fitness club.

A line graph with the y-axis labeled "Cost" and the x-axis labeled "Number of Days Attended." The line progresses upward in a linear fashion from the origin, representing an increase in cost as the number of days attended increases.

The initial cost to join is ______________, and the rate of change is ______________ for every day you attend the fitness club. $10, $3, $5, $40

Answer 1

Initial cost = $10, and the rate of change = $3 per day.

Reason: the line starts at (0, 10) so the y‑intercept is $10, and using another point (10, 40) the slope is (40 − 10)/(10 − 0) = 30/10 = 3 dollars per day.