Question

For what number of brochures are the costs the same for both companies?what method did you use to get your answer?

Answer 1

Answer:

100 brochures

Step-by-step explanation:

The complete question is

The organizers of a walkathon get cost estimates from two printing companies to print brochures to advertise the event. The costs are given by the equations below, where C is the cost in dollars and n is the number of brochures.

Company A: C=15+0.10n

Company B: C=0.25n.

For what number of brochures are the cost the same for both company’s

Let

n ---> the number of brochures.

C ---> the cost in dollars

we have

Company A

$C=15+0.10n$ ----> equation A

This is the equation of a line in slope intercept form

where

The slope or unit rate is

$m=\ 0.10\ per\ brochure$

The y-intercept or initial value is

$b=\ 15$

Company B

$C=0.25n$ ----> equation B

This is a proportional relationship

where

The constant of proportionality or slope is

$m=\ 0.25\ per\ brochure$

To find out for what number of brochures are the costs the same for both companies, equate equation A and equation B

Solve by substitution method

$0.25n=15+0.10n$

solve for n

$0.25n-0.10n=15\\0.15n=15\\n=100\ brochures$