Answer:
Let's use an inequality to represent the number of friends Coral can invite to her birthday party.
Let "x" be the number of friends Coral can invite.
The flat fee for reserving lanes is $22, and she also needs to pay $1.50 per person for shoe rental for each friend she invites. So the total cost of the party will be:
Total Cost = Flat Fee + (Shoe Rental Cost per Person * Number of Friends)
Total Cost = $22 + ($1.50 * x)
Coral has $60 to spend on her birthday party, so we can write the inequality:
Total Cost ≤ Budget
$22 + ($1.50 * x) ≤ $60
Now, let's solve for "x" (the number of friends Coral can invite):
$1.50 * x ≤ $60 - $22
$1.50 * x ≤ $38
Now, divide both sides of the inequality by $1.50 to solve for "x":
x ≤ $38 / $1.50
x ≤ 25.33
Since you can't invite a fraction of a person, Coral can invite a maximum of 25 friends to her birthday party and stay within her budget.
Step-by-step explanation: