A model of a lighthouse has diameter 8 inches and height 18 inches. If the actual diameter of the lighthouse is 20 feet, find its actual height.

45 feet.

Step-by-step explanation:

Given that a model of a lighthouse has diameter 8 inches and height 18 inches, and the actual diameter of the lighthouse is 20 feet, in order to find its actual height, the following calculation has to be made:

20 feet = 240 inches

240 / 8 = 30

Scale ratio: 1:30

18 x 30 = 540

540 inches = 45 feet

Therefore, the actual height of the lighthouse is 45 feet.

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.