Question

1. COST Mr. Rivera wants to purchase a riding lawn

Answer 1

Answer:

p(x) = 0.85x

t(x) = 1.065x

(t o p)(x) = 0.9x

$2700

Step-by-step explanation:

If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

$p(x) = x(1 - \frac{15}{100}) = 0.85x$

where x is the marked price.

Now, the function that gives the total cost with sales tax will be given by

$t(x) = x(1 + \frac{6.5}{100}) = 1.065x$

where x is the discounted price.

Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by

(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)

where x is the marked price.

If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),

(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)