A landscaping company charges a flat rate of $50, plus $15 per acre. John wants a price quote on the cost of yard work for his plot of land.

Which expressions represent the cost of servicing x acres of John's land?

Select all that apply.

$50+$15x

$15x

$50−$15x

$75x

Well, John is lucky that the landscaping company doesn't charge per blade of grass!

Anyway, the correct expressions that represent the cost of servicing x acres of John's land are:

$50 + $15x
and
$15x

So, John can choose between the flat rate plus $15 per acre or just $15 per acre. Simple enough, huh?

The expressions that represent the cost of servicing x acres of John's land are:

$50 + $15x

$15x

To determine the cost of servicing x acres of John's land, we need to consider the flat rate of $50 and the additional charge of $15 per acre.

The expression $50 represents the flat rate of $50.
The expression $15x represents the additional charge of $15 per acre, multiplied by the number of acres (x).

Therefore, the expressions that represent the cost of servicing x acres of John's land are:

$50 + $15x
$15x

The expression $50 - $15x does not represent the cost of servicing x acres since it subtracts the additional charge of $15x from the flat rate, which does not make sense in this context.

The expression $75x is incorrect because it adds the flat rate of $50 and the additional charge of $15 per acre twice. It overestimates the cost.

So, the correct expressions are:

$50 + $15x
$15x

a flat fee of $50 plus a variable cost means it must be A