Question

Two types of memberships are available for a theme park:
$86 per month plus $3 per visit
or $45 per month plus $5 per visit
Enter an equation that could be used to find the number of visits, v, that would make the two membership options cost the same amount.

Answer 1

The equation 2v-41=0 can be used to find the number of visits that would make two memberships cost the same amount.

Step-by-step explanation:

Given,

Per month charges of type 1 = $86

Per visit charge = $3

Let,

v be the number of visits.

T(v) = 3v+86    

Per month charges of type 2 = $45

Per visit charge = $5

P(v) = 5v+45

For same amount to be charged;

T(v) = P(v)

$3v+86=5v+45\\86-45=5v-3v\\41=2v\\2v-41=0$

The equation 2v-41=0 can be used to find the number of visits that would make two memberships cost the same amount.