Math

QuestionWhich truck should Jennifer buy based on towing capacity and vehicle weight? Compare:
Truck A: 3,5003,500 lbs, 2,8002,800 lbs Truck B: 3,6003,600 lbs, 4,2004,200 lbs Truck C: 4,8004,800 lbs, 3,6003,600 lbs Truck D: 4,8004,800 lbs, 4,2004,200 lbs

Studdy Solution

STEP 1

Assumptions1. Jennifer is interested in a small truck with a high towing capacity. . The vehicle weight and towing capacity of four trucks are given in the table.
3. Jennifer's decision will be based on the truck with the greatest towing capacity per vehicle pound.

STEP 2

We need to calculate the towing capacity per vehicle pound for each truck. This can be done by dividing the towing capacity by the vehicle weight.
owingcapacitypervehiclepound=TowingcapacityVehicleweightowing\, capacity\, per\, vehicle\, pound = \frac{Towing\, capacity}{Vehicle\, weight}

STEP 3

Calculate the towing capacity per vehicle pound for Truck A.
owingcapacitypervehiclepoundA=2,800lbs3,500lbsowing\, capacity\, per\, vehicle\, pound_{A} = \frac{2,800\, lbs}{3,500\, lbs}

STEP 4

Calculate the towing capacity per vehicle pound for Truck B.
owingcapacitypervehiclepoundB=4,200lbs3,600lbsowing\, capacity\, per\, vehicle\, pound_{B} = \frac{4,200\, lbs}{3,600\, lbs}

STEP 5

Calculate the towing capacity per vehicle pound for Truck C.
owingcapacitypervehiclepoundC=3,600lbs4,800lbsowing\, capacity\, per\, vehicle\, pound_{C} = \frac{3,600\, lbs}{4,800\, lbs}

STEP 6

Calculate the towing capacity per vehicle pound for Truck D.
owingcapacitypervehiclepound=4,200lbs4,800lbsowing\, capacity\, per\, vehicle\, pound_{} = \frac{4,200\, lbs}{4,800\, lbs}

STEP 7

Now that we have the towing capacity per vehicle pound for each truck, we can compare these values to determine which truck has the greatest towing capacity per vehicle pound.

STEP 8

Compare the towing capacity per vehicle pound for each truck.
The truck with the greatest towing capacity per vehicle pound is the one that Jennifer should purchase.
The answer is B. Truck B, because it has the greatest towing capacity per vehicle pound.

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