HELP ASAP!!
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Twice last month, Judy Carter rented a car from a current company and traveled round the Southwest on business. The company ronts its car for a daily fee, plus an additional charge per mile driven. Judy recalls that her first tip led 4 day, the drove 450 Miles, and the revital cost her $241.50. On her second business trip sho drove 200 miles in 3 days, and paid $139.00 for the rental Find the deally fee, and find the mileage charge.

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Snor1ax Snor1ax · Answer 1 · 2021-12-15T01:59:24+01:00

Answer: The charge per day was $33.67 with a mileage cost of $0.19 per mile.

Step-by-step explanation:

Here's the equations that we will use find the total cost of the trip and the mileage cost

Trip 1 --> 241.50 = 4(days) + 450(miles)

Trip 2 --> 139.00 = 3(days) + 200(miles)

You can see that you are missing 2 variables. Let's let the daily fee = x and the charge per mile = y

241.50 = 4x + 450y

139 = 3x+ 200y

To solve for 2 variables, you can use substitution to isolate for one variable and solve for the other

139 = 3x + 200y

139 - 200y = 3x

x = (139 - 200y) / 3 --> this can be substituted into the first original equation for the x to solve for y.

241.50 = 4x + 450y

241.50 = 4(149 - 200y) / 3 + 450y

x3 (241.50 = 596/3 + 550y/3 )x3

700.5 = 596+550y

104.5=550y

y = 0.19 -> mileage charge

plug this into one of the original equations and solve for x

139 = 3x+ 200y

139 = 3x + 200(0.19)

101=3x

x = $33.67

Solution: the charge per day was $33.67 with a mileage cost of $0.19 per mile.