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QuestionThe Plaid Taxi Cab Company charges a \$1.75 base fee plus \$3.45 per mile.
a. Write the cost expression for mm miles. b. Find the cost for 8 miles.

Studdy Solution

STEP 1

Assumptions1. The base fee for the taxi ride is 1.75.Theratepermileis1.75. The rate per mile is 3.453. Deangelo is planning to take a taxi to the airport4. The distance to the airport is represented by the variable m5. The taxi fare is calculated as the base fee plus the product of the rate per mile and the distance traveled

STEP 2

First, we need to write an expression to represent the cost of the taxi ride. This is the sum of the base fee and the product of the rate per mile and the distance traveled.
Cost=Base fee+(Rate per miletimesDistance)Cost = Base\, fee + (Rate\, per\, mile \\times Distance)

STEP 3

Now, plug in the given values for the base fee and the rate per mile to write the expression.
Cost=$1.75+($3.45timesm)Cost = \$1.75 + (\$3.45 \\times m)This is the expression for the cost of the taxi ride.

STEP 4

Now, we need to find the cost for Deangelo to take a Plaid taxi8 miles to the airport. We can do this by substituting8 for m in the expression we just found.
Cost=$1.75+($3.45times8)Cost = \$1.75 + (\$3.45 \\times8)

STEP 5

Calculate the cost of the taxi ride.
Cost=$1.75+($3.45times8)=$1.75+$27.60=$29.35Cost = \$1.75 + (\$3.45 \\times8) = \$1.75 + \$27.60 = \$29.35Deangelo will have to pay $29.35 to take a Plaid taxi8 miles to the airport.

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