Question

A car is traveling down a road at a constant speed of 50 miles per hour.

Complete the table with the amounts of time it takes the car to travel certain distances, or the distances traveled for certain amounts of time.
Write an equation that represents the distance traveled by the car, , for an amount of time, t.
Time Distance (in miles)
2
1.5
t
50
300

Answer 1

To complete the table, we can use the formula:

distance = speed x time

where the speed is given as 50 miles per hour.

Time Distance (in miles)

2 100

1.5 75

t 50t

50 2500

To write an equation that represents the distance traveled by the car for an amount of time t, we can use the same formula:

distance = speed x time

But this time, we will use variables instead of actual values:

d = 50t

where d is the distance traveled (in miles) and t is the amount of time (in hours).

This equation represents a linear relationship between distance and time, with a slope of 50 (representing the constant speed of the car) and a y-intercept of 0 (since the car hasn't traveled any distance at time 0).

Explanation: