Storage locker a is 6 feet wide, 6 feet deep, and has a height of 9 feet. storage locker b has a volume of 306 cubic feet.

part a
which storage locker is bigger? use the drop-down menus to show and explain your answer.

locker is bigger. locker a has a volume of cubic feet, which is than the volume of locker b.

part b
the monthly rent for locker a is $0.35 per cubic foot. the monthly rent for locker b is $0.40 per cubic foot. how much does it cost to rent the largest locker each month? enter your answer in the box.

$

Part A:

Locker A is bigger

Locker A has a volume 324 of cubic feet

Part B:

$113.4 each month

Step-by-step explanation:

∵ The dimensions of locker A are 6 , 6 , 9 feet

∴ Its volume = 6 × 6 × 9 = 324 feet³

∵ The volume of locker B is 306 feet³

∴ Locker A is bigger

Part B:

∵ The monthly rent for locker A = $0.35

∴ The cost of rent of the largest = 0.35 × 324 = $113.4 each month

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.