Question

The expression 2p2 − 5m can be used to find the sales profit of a company where p is the number of products they sell and m is the number of miles they travel. If they sold 10 products and traveled 5 miles, what was their profit?
$200
$175
$150
$25

Answer 1

To find the sales profit using the expression \(2p^2 - 5m\), we need to substitute the values for \(p\) (the number of products sold) and \(m\) (the number of miles traveled).

Given:
- \(p = 10\)
- \(m = 5\)

Now substitute these values into the expression:

\[
2p^2 - 5m
\]

Substituting the values:

\[
2(10^2) - 5(5)
\]

Calculating \(10^2\):

\[
10^2 = 100
\]

Now substitute this back into the expression:

\[
2(100) - 5(5)
\]

Calculating \(2(100)\):

\[
2(100) = 200
\]

Calculating \(5(5)\):

\[
5(5) = 25
\]

Now we can continue with:

\[
200 - 25 = 175
\]

Thus, the profit is:

\[
\boxed{175}
\]