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.