In the mall you receive a coupon for 5 dollars off a pair of jeans. When you arrive at the store you find that all jeans are 25 percent off
Let x represent the original cost of the jeans
18a.Write a function F(x) that represents the effect of your original coupon
18b. Write a function G(x) that represents the effect of the 25 percent discount at the store
18a. F(x) = x - 5.
18b. F(x) = x - 0.25x = x(1-0.25) = 0.75x.
18a. Function F(x) that represents the effect of the original coupon:
F(x) = x - 5
18b. Function G(x) that represents the effect of the 25 percent discount at the store:
G(x) = x - (0.25 * x) = 0.75 * x
So, F(x) represents that the jeans will be 5 dollars less than the original price, while G(x) represents that the jeans will be 25 percent off the original price.
a. The function F(x) that represents the effect of your original coupon is:
F(x) = x - 5
b. The function G(x) that represents the effect of the 25 percent discount at the store is:
G(x) = x - (0.25 * x) = x - 0.25x = 0.75x
To write the functions F(x) and G(x), we need to understand the effect of each coupon and discount separately.
18a. Write a function F(x) that represents the effect of your original coupon:
The original coupon provides a discount of $5 off any pair of jeans. This means that the final price of the jeans will be the original price minus $5. Therefore, the function F(x) can be written as:
F(x) = x - $5
18b. Write a function G(x) that represents the effect of the 25 percent discount at the store:
The 25% discount at the store reduces the price of the jeans by 25%. This means that the final price of the jeans will be 75% of the original price, which can be calculated by multiplying the original price by 0.75. The function G(x) can be written as:
G(x) = 0.75x
Note that in this case, the 25% discount is applied after the original coupon is deducted. If the coupon was applicable after the discount, the function G(x) would be slightly different.