Please number your responses to the questions as they are shown (1, 2, 3a, and 3b). Use the graph to answer the questions that follow.

1) What linear equation in slope-intercept form does this graph represent?

2) What was your thought process? Explain how you found your equation. Use complete sentences in your response.

3a.) Write a real-world situation that could be modeled by this linear equation. (Your real-world example should be different from other posts.)

3b.) Explain how you labeled the x-axis and y-axis based on the situation you wrote in 3a.

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.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!