Choose the correct letter. admission to the fair costs $7.75. each ride costs you $.50. you have $15 to spend at the fair including admission. which inequality represents the possible numbers of rides you can ride?

0.5

x

+

7.75

≤

15

Explanation:

If you express the information in words first, it will be easier to write as an inequality.

"The amount of money spent on admission to the fair and on a number of rides which each cost $0.50, must be at most $15"

"At most $15" means $15 exactly or less.

$

7.75

+

$

0.50

×

x

≤

$

15

0.5

x

+

7.75

≤

15

This is the required inequality.

To find the maximum number of possible rides,solve for  

x

0.5

x

≤

15

−

7.75

0.5

x

≤

7.25

x

≤

14.5

The most rides that can be done is  

14

the correct answer i got was 14

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).