Question
A person purchases 2
tricycles using a coupon and a store discount. The coupon is applied first and takes a certain number of dollars off the purchase before the store discount is applied to the total purchase.
If the expression 0.75(2x-5)
represents the final cost, in dollars, where x
is the original price of each tricycle, in dollars, what does the value
represent 0.75?
Responses
tricycles using a coupon and a store discount. The coupon is applied first and takes a certain number of dollars off the purchase before the store discount is applied to the total purchase.
If the expression 0.75(2x-5)
represents the final cost, in dollars, where x
is the original price of each tricycle, in dollars, what does the value
represent 0.75?
Responses
Answers
GPT-4o mini
In the expression \(0.75(2x - 5)\), the \(0.75\) represents the store discount applied after the coupon has been applied to the total cost of the tricycles.
Here's the breakdown:
1. **The term \(2x - 5\)**: This represents the total cost after applying the coupon. Specifically, \(2x\) is the total price for 2 tricycles (where \(x\) is the price of each tricycle), and \(-5\) indicates that a $5 coupon has been applied.
2. **The term \(0.75\)**: This is a multiplier that indicates the store discount. Specifically, a multiplier of \(0.75\) means that after the coupon is applied, the buyer only pays 75% of the remaining total cost. This implies that there is a discount of 25% on the total amount after the coupon.
In summary, \(0.75\) represents that the final price is 75% of the price that follows the coupon application, reflecting a 25% discount on that subtotal.
Here's the breakdown:
1. **The term \(2x - 5\)**: This represents the total cost after applying the coupon. Specifically, \(2x\) is the total price for 2 tricycles (where \(x\) is the price of each tricycle), and \(-5\) indicates that a $5 coupon has been applied.
2. **The term \(0.75\)**: This is a multiplier that indicates the store discount. Specifically, a multiplier of \(0.75\) means that after the coupon is applied, the buyer only pays 75% of the remaining total cost. This implies that there is a discount of 25% on the total amount after the coupon.
In summary, \(0.75\) represents that the final price is 75% of the price that follows the coupon application, reflecting a 25% discount on that subtotal.