Question

The function c(x) = 15.50x10 represents the cost in dollars of buying x tickets to the movies with a $10 coupon.

A: how much does it cost to buy four tickets?
B: how many tickets can you buy with $145?

Answer 1

To calculate the cost for four movie tickets using the function c(x) = 15.50x - 10, substitute x with 4, which results in a total cost of $52. To find out how many tickets can be bought with $145, solve the equation 145 = 15.50x - 10 to get 10 tickets.

Step-by-step explanation:

The function c(x) = 15.50x - 10 represents the cost in dollars of buying x tickets to the movies with a $10 coupon. To find out how much it costs to buy four tickets, we substitute x with 4 into the function:

c(4) = 15.50(4) - 10 = 62 - 10 = $52.

So, it costs $52 to buy four tickets. To determine how many tickets can be bought with $145, we set up the equation:

145 = 15.50x - 10

Adding 10 to both sides gives us:

155 = 15.50x

Dividing by 15.50 yields:

x = 155 / 15.50 = 10 tickets.

Therefore, with $145, you can buy 10 tickets to the movies.