12.) Rachel is comparing the cost of two parking garages. Garage A charges a flat fee of $6 to park plus $0.50 per hour. Garage B charges a flat fee of $2 to park plus $1 per hour. Write an equation then find after how many hours will the
cost at garage A and garage B be the same? What will that cost be? (4 points total)

The equation: 6 + 0.5x = 2 + 1x

How many hours till the cost is the same: 8 hours

What will the cost be: $10

Step-by-step explanation:

6 + 0.5x = 2 + 1x

subtract 0.5x from both sides

6 = 2 + 0.5x

subtract 2 from both sides

4 = 0.5x

divide both sides by 0.5

x = 8

Lets check our work:

Garage A:

6 + 0.5(8)

6 + 4 = 10

Garage B:

2 + 1(8)

2 + 8 = 10

After 8 hours the price for both garages will be equal at $10

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500