A researcher compared the heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where x is the shoe size and y is the height, in inches. y equals 1.6 x plus 48 Question Based on the equation, what is the approximate shoe size for a man having a height of 60 inches? Answer options with 4 options

7.5

Step-by-step explanation:

From the above Question, the equation is given as:

y = 1.6x + 48

Where

x is the shoe size

y is the height, in inches.

What is the approximate shoe size for a man having a height of 60 inches?

This is calculated as:

60 = 1.6x + 48

Collect the like terms

1.6x = 60 - 48

1.6x = 12

We divide both sides by 1.6

x = 12/1.6

x = 7.5

Therefore, the shoe size for a man having the height of 60 inches is 7.5.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.