Question

Claire is planning on becoming a member at the gym down the street from her house. They charge a $60 sign-up fee and an additional $8 per month. Write a linear equation y=mx+b to represent this situation, using x to respresent the number of months and y to represent the total cost of her membership.

Answer 1

The linear equation is y = 8x + 60

Explanation:

the slope-intercept form of the linear equation is

y = m x + b, where

• m is the slope of the line (the rate)

• b is the y-intercept (the fixed amount)

∵ Claire charge a $60 sign-up fee

→ This means it is a fixed amount for a sign-up

∴ b = 60

∵ There is an additional $8 per month

→ This means it is the rate

∴ m = 8

∵ y represents the total cost of her membership in x months

→ Represent this situation by the form of the linear equation above

∴ y = 8x + 60

∴ The linear equation is y = 8x + 60