Question

For signing up for a rewards program, Amanda gets 16 loyalty points and gets 2 per month (m). Write a function to model the situation. What is the function?

A) f(m) = 16 + 2m
B) f(m) = 16 - 2m
C) f(m) = 2m - 16
D) f(m) = 2m + 16

Answer 1

The function to represent Amanda's loyalty points as she earns 2 points per month after signing up with 16 points is f(m) = 16 + 2m.

Step-by-step explanation:

The function to model Amanda's loyalty points for signing up for a reward program is f(m) = 16 + 2m. This is because she starts with 16 loyalty points and earns an additional 2 points for each month that she is part of the program. So, the number of loyalty points she has is always the initial 16 points plus 2 times the number of months she has been enrolled in the program.

To model the situation where Amanda gets 16 loyalty points for signing up and 2 points per month, we can use a linear function. The function will have the form f(m) = am + b, where 'm' represents the number of months and 'f(m)' represents the total number of loyalty points. In this case, since the initial loyalty points are 16, and Amanda receives 2 points per month, the function is f(m) = 2m + 16. So, the correct answer is D) f(m) = 2m + 16.