MARK BRAINIEST TO FIRST THAT ANSWERS Tara’s family is on a driving trip. She is trying to figure out how many miles they will be driving from Point A to Point B today. The scale on the map is 1/2 in. = 60 mi. Using a ruler, Tara estimates that Point B is about two inches from point A. Approximately how many miles will the family drive today?

A. 24 mi.
B. 60 mi.
C. 120 mi.
D. 240 mi.

240

Step-by-step explanation:

Here is one way to solve this problem.

First, write the scale ratio. Use either a fraction or a decimal in the numerator.

Next, write the ratio of the distance on the map between points A and B to the actual distance, using a variable such as d for the unknown distance.

Then, write the proportion equating the two ratios.

Now, cross multiply to get 0.5, d equals 120.

Finally, solve for the variable. Divide 120 by 0.5 to determine the approximate driving distance, 240 miles.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: