Question

Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) = 0. 7p, where p is the original price of the bike. He also knows he has to pay 12% sales tax on the bike. The price of the bike with tax is f(c) = 1. 12c, where c is the sale price of the bike. Determine the function that can be used to calculate the final price of Leo's bike. C[f(c)] = 0. 784c f[c(p)] = 1. 82p c[f(c)] = 1. 82c f[c(p)] = 0. 784p.

Answer 1

Answer:

f[c(p)] = 0.784p

Step-by-step explanation:

sales discount = 30%

sales tax = 12%

c(p) = 0.7p where p is the original price

f(c) = 1.12c where c is the sales price of the bike.

f[c(p)] = 1.12(0.7p)

f[c(p)] = 0.784p    Last option.

Assume: p = 100

c(100) = 0.7(100) = 70

f(70) = 1.12(70) = 78.4

f[70(100)] = 0.784(100) = 78.4

Answer 2

The function after the 30% of discount and 12% of tax is $\rm f[c(p)] = 0.784\ p$. Then the correct option is D.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Given

Leo is purchasing a bike that is on sale for 30% off.

He knows the function that represents the sale price of his bike.

$\rm c(p) = 0. 7p$

where p is the original price of the bike.

He also knows he has to pay 12% sales tax on the bike.

The price of the bike with tax

$\rm f(c) = 1. 12c$

where c is the sale price of the bike.

Then the function will be

$\rm f[c(p)] = 0.784\ p$

More about the percentage link is given below.

https://brainly.com/question/8011401