Question

Plan A: Pay a $10.00 initiation fee per family, then pay a

discounted price of $1.75 per person to visit the
museum.
Plan B: Pay $2.75 per person per visit to the museum.
For each of the problems below, write an equation to
represent the situation and use the equation to solve the problem.


1. Jayden and his brother choose Plan A. During the summer, they spend a total of $38. How many times did the boys visit the museum?


2. Maria and her sister also like to visit the museum. They choose Plan B and spend a total
of $38.50. How many times did the girls visit the museum?

Answer 1

Explanation:

y = the cost of all visits to the meuseum

x = the number of visits

Plan A calls for $1.75 per per, per visit. There are two people so each visit for will cost $3.50 for both. This is the Slope of your line. This plan also requires an initial cost of $10 for 0 visits, this is your y intercept, or b in the point Slope form.

Put all that together for y = 3.5x + 10

The 1st question requires finding the number of visits possible for $38.00, this is the y value at x visits.

Solve

38.00 = 3.5x + 10. Subtract 10 from both sides

28.00 = 3.5x. divide both sides by 3.5

x = 8 visits for each Hayden and his brother.

Plan B is just paying $2.75 per person, per visit. For both Maria and her sister the cost would be $5.50 per visit. This is the Slope.

There is no initial cost so the equation is

y = 5.50x

How many times can they go for $38.50

$38.50 = 5.50x solve for x

x = 7 visits for Maria and her sister. They should have gone with plan A. They would have been able to go to the museum one more time and each saved a quarter.