Question

Henry has a part-time job selling computers. He works 6.5 hours each day. • The function p(x) = 65 + 25x models his daily earnings, where x is the number of computers he sells during the day. Henry sells 3 to 10 computers per day.

Answer 1

Here, we want to get the possible range values

Mathematically, the range values are simply the possible P(x) values

We have the x values as the domain values

To get the range values, we will need to substitute the values of the domain

Thus, we have;

`P(3)\text{ = 65 + 25(3) = 65 + 75 = 140}`

If he sold 3 computers, he will earn 140

For the 10 computers, we have;

`P(10)\text{ = 65 + 25(10) = 315}`

If he sold 10 computers, he will earn 315

His earnings is thus between 140 and 315

So the possible range values will be;

`140\leq p(x)\leq315`