Question

Which scenario is best modeled by a linear function?

Options:
A) the height of a rocket x seconds after it is launched from a 20-foot tall platform
B) the amount of a radioactive element that decreases by half every x 10-year periods
C) the total population of a town that has changed by 2% every x years
D) the total price paid for x shirts that are on sale for half off

Answer 1

The best scenario for a linear function is the total price for x shirts on sale for half off, exhibiting a constant rate of change based on the number of shirts.

Step-by-step explanation:

The scenario that is best modeled by a linear function is the total price paid for x shirts that are on sale for half off. This is because a linear function represents situations where there is a constant rate of change. In this case, the rate of change is the fixed discount per shirt. The total cost would be calculated by multiplying the number of shirts (x) by the sale price of each shirt (which is half the original price). The formula y = mx + b could be applied here with "m" being the sale price per shirt and "b" being any fixed cost, potentially zero if there are no other costs.