Question

Traveling with a speed of 70 mph, a car covered a distance D miles in T hours. Write an equation that relates the distance D this car travels in T hours. Use the equation to find the distance the car travels between 3:30 p.m. and 5:00 p.m. Please write the formula with variables.

Answer 1

Answer:

Part A) $D=70T$

Part B) $D=105\ miles$

Step-by-step explanation:

Par A) Write an equation that relates the distance D this car travels in T hours

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

The speed is a proportional relationship between the distance and the time

Let

D ----> the distance in miles

T ----> the time in hours

so

$D=kT$

In this problem the constant of proportionality k represent the speed of the car in miles per hour

we have

$k=70\ mi/h$

substitute

$D=70T$

Part B) Use the equation to find the distance the car travels between 3:30 p.m. and 5:00 p.m

we know that

The time between 3:30 p.m. and 5:00 p.m is equal to

5:00 p.m-3:30 p.m=1.5 hours

so

For T=1.5 h

substitute in the equation and solve for D

$D=70(1.5)$

$D=105\ miles$