Justin has a savings account. -He started with $70 in his account.

-He deposits $15 into the account each week.

-Let 'b' represent the amount Justin has in the bank after 'w' weeks.

Which equation represents the total amount Justin will have in his account?

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.