Math 980 quiz

One application of ‘Linear Equations’ is the concept of the relationship between the distance traveled, the rate of travel and the time traveled. Under the assumption that the rate is constant, the relationship becomes the formula: distance = rate x time. (D = RT)

1.Suppose the distance in miles traveled from home to school is 15 miles. Suppose this distance can be travelled in 36 minutes. Find the time in hours travelled from home to school. The minutes can be divided by 60 to get hours. For example 45 minutes = 45/60 = 0.75 hours. Write the answer at a number only with a zero before the decimal, i.e. 0.75.

2.You have found a new route to school that is 12 miles. You can drive the new route in 0.4 hours. Using D=RT, insert the D and T values into this formula and write the resulting equation. Leave NO spaces in the answer. Leave the units out of the equation. Example: 12=0.75R

3.Solve the equation in Question 2 which represents the average speed. Write the answer by filling in the blank. R = _____mph

4.Suppose you need to drive the ‘new’ route to school in 15 minutes. Using D=RT, insert your D value and the new T value into this formula and write the resulting equation. Fifteen minutes will have to be converted to hours. Leave NO spaces in the answer. Leave the units out of the equation. Example: 12=0.75R

5.Solve the equation in Question 4 which represents the average speed. Write the answer by filling in the blank. R = _____mph

6.Suppose you were traveling the ‘new’ route to school at 40 mph. Using D=RT, insert your D value and the new R value into this formula and write the resulting equation. Leave NO spaces in the answer. Leave the units out of the equation. Example: 12=15T

7.Solve the equation in Question 6, in minutes, which represents the time traveled. Time in hours will have to be converted to minutes. Write the answer by filling in the blank. T = _____minutes