Admission to the fair costs $7.75. Each ride costs you $0.50. You have $15 to spend at the fair including admission. Which inequality represents the number of rides you can ride?

Question

Admission to the fair costs $7.75. Each ride costs you $0.50. You have $15 to spend at the fair including admission. Which inequality represents the number of rides you can ride?

r ¡Ý 15

r ¡Ü 14

r < 14

r > 14

Answer 1

number of rides --- r

so
.5r + 7.75 ≤ 15
.5r ≤ 7.25
r ≤ 14.5
but r has to be a whole number, (can't have a partial ride)
so r ≤ 14

Answer 2

ou and your three friends are going to the State Fair. It costs $5 per person for admission into the fair and $3 for each ride. Which algebraic expression represents the TOTAL amount of money it will cost for you and your three friends to get into the fair and ride "x" amount of rides?

Answer 3

To determine the inequality that represents the number of rides you can ride, you need to consider the cost of the admission and the cost of each ride.

Let's denote the number of rides as r.

The cost of admission is $7.75, and the cost of each ride is $0.50. So, the total amount spent on rides will be 0.50 * r.

In total, you have $15 to spend at the fair, including the admission. Therefore, the inequality representing the number of rides you can ride can be written as:

Admission cost + Ride cost ≤ Total money available
$7.75 + $0.50 * r ≤ $15

Now, let's simplify this inequality:

$7.75 + $0.50 * r ≤ $15
$0.50 * r ≤ $15 - $7.75
$0.50 * r ≤ $7.25

Now, to isolate r, let's divide both sides of the inequality by $0.50:

r ≤ $7.25 / $0.50
r ≤ 14.5

Since you cannot ride a fraction of a ride, you need to round down to the nearest whole number. Therefore, the final inequality that represents the number of rides you can ride would be:

r ≤ 14

So, the correct option is r ≤ 14.