Let x be the number of times Alfredo visits the trampoline center.
Under Plan A, the total cost is $48 (membership fee) + $6x (cost per visit).
Under Plan B, the total cost is $10x.
Setting these two equations equal to each other to find the break-even point:
$48 + $6x = $10x
$48 = $4x
x = 12
Therefore, Alfredo must visit the trampoline center 12 times for the total cost under both Plan A and Plan B to be equal.
Alfredo enjoys going to a local trampoline center. He can pay in one of two ways: Plan A requires him to pay $48 for a year’s membership, but during that time he pays just $6 each time he visits the center. Plan B does not require a membership; however, under this plan Alfredo must pay $10 for each visit. Alfredo understands that if he visits the trampoline center infrequently, plan B is a better deal, but if he attends more often, plan A will ultimately cost less money. Alfredo wants to know how many times he must visit the center so that the total cost under both plan A and plan B will be equal. Write a linear equation to help him solve the problem. Then determine how many times Alfredo must visit the center for the two values to be the same
1 answer
1 answer