Question

Please answer, I need help.

Brandon decided to take his family to a water park and celebrate the end of the school year. The cost is $9.50 for parking and $15 for each person for the entire day.

a. Define the variable and write a linear equation for the situation

b. Use the equation to find the cost if Brandon has 5 members in his family

Answer 1

a. y = 9.50 + 15a

b. total cost(y) = 84.5

Explanation:

Brandon decided to take his family to a water park to celebrate the end of the school year.

The cost for parking is $ 9.50 which is a flat rate and compulsory rate for parked cars. The cost for each person is $15 .

a. The linear equation can be expressed below. The variable required in the linear equation will be the number of people that entered the water park(a) and the total cost (y)

let

a = number of person for the entire day

total cost = y

y = 9.50 + 15a

b. To find the cost for a whole family of 5 member can be calculated below.

Using the linear equation

total cost = 9.50 + 15a

total cost = 9.50 + 15(5)

total cost = 9.50 + 75

total cost(y)= 84.5

Answer 2

Answer: a) Cost(x) = $9.50 + $15*x

b) $84.50

Explanation:

a) If x is the number of members in the family, we can model this situation with a linear equation, where x is the variable.

We have:

A fixed $9.50 (this does not depend on the number of members in the family)

and $15 for each member, so the equation that represents this is:

Cost(x) = $9.50 + $15*x

b) now we have x = 5, then:

Cost(5) = $9.50 + $15*5 = $84.50