Question

George Kittle was given 300 protein bars. He eats 4 of them every day. Write an equation that represents the situation if he has 90 protein bars left.

Answer 1

Answer:

Part 1) The linear equation is $y=-4x+300$

Part 2) if he has 90 protein bars left, then 52.5 days have passed

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

y is the number of protein bars left

x is the number of days

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

The slope is equal to

$m=-4\ \frac{bars}{day}$ ----> is negative because is a decreasing function

$b=300\ protein\ bars$

substitute

$y=-4x+300$  ---> linear equation that represent this situation

If he has 90 protein bars left

so

For y=90

substitute in the linear equation and solve for x

$90=-4x+300\\4x=300-90\\4x=210\\x=52.5\ days$

therefore

if he has 90 protein bars left, then 52.5 days have passed