Question

A movie theater sends out a coupon for 70% off the price off a ticket. a) Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use integers or decimals for any numbers in the expression.

Answer 1

Equation 1
y=x-0.7

equation 2
x=y+0.7

Answer 2

Answer:

$y=0.30x$

Step-by-step explanation:

Givens:

• $y$ is the price of the ticket, after the offer.
• $x$ is the original price of the ticket, before the offer.

So, knowing what represents the variables, we can write an expression to model this situation. The expression would be:

$y=x-0.70x$

The difference is modelling the offer, the discount from the coupon, it says that such coupon offers a discount of 70% of the original prices, and that percentage is represented by 0.70, multiplied by $x$ because that variable represents the original price. In addition, we have to subtract, because a discount means lower price, less than the original.

Therefore, the expression is:

$y=0.30x$

In words, with the coupon, people just pay 30% of the original price.