The scale on a map reads 1/2 inch = 30 miles. If two cities on the map are 5 3/4 inches apart, find the actual distance between the cities

The actual distance between cities = 345 miles

Step-by-step explanation:

Given that:

Scale on map is

1/2 inch = 30 miles

0.5 inch = 30 miles

Distance between two cities on map = = = 5.75 inches

Actual distance = x

As the relationship is proportional

0.5 : 30 :: 5.75 : x

Product of mean = Product of extreme

30*5.75 = 0.5x

172.5 = 0.5x

0.5x = 172.5

Dividing both sides by 0.5

Hence,

The actual distance between cities = 345 miles

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the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.