Ateacher already had a certain number of canned goods for the food drive. each day of the food drive, the class plans to bring in 10 cans. the total number of canned goods for day 10 is 205. assume the relationship is linear. find and interpret the rate of change and the initial value.

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.

your answer is option c.