Question

Gallons used/miles driven: 40/4073, 67/336, 42/4277, 72.8/8772.8, 47/4864, 64.8/8864.8. What is the constant of proportionality between the number of miles driven and the number of gallons used?

a) 100
b) 50
c) 75
d) 25

Answer 1

The constant of proportionality between the number of miles driven and the number of gallons used is approximately 96.836.

Step-by-step explanation:

The constant of proportionality between the number of miles driven and the number of gallons used can be found by calculating the ratio of miles driven to gallons used for each set of data given. Let's calculate it:

For the first set of data, we have 40 gallons used and 4073 miles driven. The ratio is 4073/40 = 101.825.

For the second set of data, we have 67 gallons used and 336 miles driven. The ratio is 336/67 = 5.01.

Calculating the ratios for the rest of the data, we find:

42/4277 = 101.833, 72.8/8772.8 = 120.27, 47/4864 = 103.659, and 64.8/8864.8 = 136.73.

The constant of proportionality is the average of these ratios, which is (101.825 + 5.01 + 101.833 + 120.27 + 103.659 + 136.73) / 6 = 96.836.

Therefore, the constant of proportionality between the number of miles driven and the number of gallons used is approximately 96.836.