Question

Derek saved $2400 over the summer so that he doesn't have to work during the school year. He plans to spend $75 per week on food, gas, and miscellaneous expenses. If S represents his savings and w represents the number of weeks during the school year, which equation represents the amount of money Derek has? S = 2400 - 75w S = 2400w - 75 S= + 2400 75 Od S = 75w + 2400

Answer 1

Derek saved $2400 over the summer so that he doesn't have to work during the school year. He plans to spend $75 per week on food, gas, and miscellaneous expenses. If S represents his savings and w represents the number of weeks during the school year, which equation represents the amount of money Derek has? S = 2400 - 75w S = 2400w - 75 S= + 2400 75 Od S = 75w + 2400​

we have

w -----> number of weeks

S -----> his savings

the linear equation is slope intercept form is equal to

S=mw+b

where

m is the slope or unit rate

b is the y-intercept or initial value

in this problem

m=-75 (is negative because is a decreasing function)

b=2,400

so

S=-75w+2,400

or

S=2,400-75w