Ihave questions, two stores offer differently priced sales for the same paper towels, according to the table below. which store offers the better deal, based on a lower unit price per roll? store 1 store 2 paper towel rolls 12 15 price $3.30 $3.50 store has the better deal.

Store 1: 12 towel rolls for $3.30

Store 2: 15 towel rolls for $3.50

Divide 3.30 by 12 ⇒ 3.3/12 = $0.275 per roll - Store 1

Divide 3.50 by 15 ⇒ 3.5/15 = $0.233 per roll - Store 2

Store 2 has the lower unit price per roll, so has the better deal.

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.