10 11
Phoebe owns a business making birdhouses. The profit can be represented by p= 62 – 126 + 250, where p represents
profit and b represents the number of birdhouses she sells. How many birdhouses would she have to sell to make a profit of
$263?

x + 4/7

step-by-step explanation:

use cymath

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.