Question

The table below shows that the number of miles driven by Lily is directly proportional to the number of gallons she used. Gallons Used Miles Driven 37 754.8 47 958.8 50 1020 What is the constant of proportionality between the number of miles driven and the number of gallons used?​

Answer 1

Answer:

20.4

Step-by-step explanation:

Constant of proportionality, k, is given as $\frac{y}{x}$.

Given that number of miles driven by Lily is directly proportional to the number of gallons she used, therefore the constant of proportionality between the number of miles driven and the number of gallons used can be determined by using any given pair from the table of values.

Using, (50, 1020),

constant of proportionality (k) = $\frac{1020}{50} = 20.4$.

Answer 2

The constant of proportionality is 20.4 miles per gallon.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the distance driven in miles for x galloons.

From the table, using the points (37, 754.8) and (50, 1020):

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-754.8=\frac{1020-754.8}{50-37}(x-37)\\\\y-754.8=20.4(x-37)\\\\y=20.4x$

Therefore the constant of proportionality is 20.4 miles per gallon.

Find out more at: https://brainly.com/question/13911928