A local sports center charges $8 per

visit. For an annual membership

fee of $45, the cost per visit is only

$5.50. What is the least number of

visits needed in a year in order for the

membership to be a better deal?

Respuesta :

Answer:

The minimum number of visits required in a year to the local sports center for the annual membership to be a better deal is 19.

Step-by-step explanation:

The charges to a local sports center is $8 per visit.

In case of an annual membership a fee of $45 is collected and a fee of $5.50 is charged per visit.

Let x be the least number of visits required to the sports center in order for the membership to be a better deal.

Therefore we can now equate the two as shown below.

    $8 × x  = $45 + ($5.50 × x)

Now solving for x we get           ⇒ 8x - 5.5x  = 45

                                                    ⇒  2.5x = 45

                                                    ∴   [tex]x = \frac{45}{2.5} = 18[/tex]

Therefore the minimum number of visits required in a year to the local sports center for the annual membership to be a better deal is 19.