Question

H = 35 – 4t every day, lee, a home inspector, is assigned a group of houses needing to be inspected. lee uses the model above to estimate how many houses he has left to inspect at the end of each hour, where h is the number of houses he has left to inspect and t is the number of hours he has worked so far that day. what does the value 4 represent in this model?

Answer 1

How many hours he worked in a day = 4?

Answer 2

The value of 4 represents that he can inspect 4 houses each hour.

Explanation:

Consider the provided model:

H = 35 – 4t

Here, t is the number of hours he has worked so far that day. H represent the number of houses left.

Consider the lee works for 0 hr in one day. Then the number of houses left are:

H = 35 – 4(0)

H = 35

35 Houses left if he works for 0 hr.

Let say if lee works for 1 hr in one day. Then the number of houses left are:

H = 35 – 4(1)

H = 35 - 4

H = 31

Thus, if he works for 1 hr 31 Houses left.

That means he can inspect 4 houses in each hour.

Hence, the value of 4 represents that he can inspect 4 houses each hour.