Question

HELP ME PLSS!?!?

In the mall you receive a coupon for $5 off of a pair of jeans when you arrive at the store you find that all jeans are 25% off

.let x represent the original cost of the jeans
.the function f(x)=x-5 represents the cost of the jeans if you use the coupon
.the function g(x)=0.25x represents the cost of the jeans if you apply the store discount of 25% first

Write a function: H(x) that represents how much you would pay if you use the mall coupon that followed by applying the discount from the store?

Answer 1

The function H(x) that represents how much you would pay if you use the mall coupon followed by applying the discount from the store would be:

H(x) = (x - 5) * 0.75

Explanation:

First, we apply the mall coupon by subtracting $5 from the original cost of the jeans represented by x. This gives us the function f(x) = x - 5.

Next, we apply the store discount of 25% by multiplying the result of f(x) by 0.75. This is because 25% expressed as a decimal is 0.25, and to apply a discount, we multiply by the decimal form of the percentage (1 - decimal form).

So, the final function H(x) represents the cost of the jeans after both the mall coupon and store discount have been applied, and is equal to (x - 5) * 0.75.

Answer 2

H(x) = (x - 5) * (1 - 0.25) = x - 5 - 0.25x = 0.75x - 5