Question

A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 45 dumpster loads of waste removed. In week 10, there were 30 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.
f(x) = −3x + 45
f(x) = 3x + 45
f(x) = −3x + 60
f(x) = 3x + 60

Answer 1

Answer:

f(x) = -3x+60

Step-by-step explanation:

For the slope of the function:

• Comparing week 5 to week 10: we know that as time goes on, the number of dumpster loads decreases from 45 to 30. This means the slope has to be negative.

For the intercept of the function:

• Since it's a negative-sloped linear function, we know that the y-intercept has to be bigger than the y-value at week 5. This means it has to be 60.

Therefore:

f(x) = -3x+60