Apples at the farmers’ market cost $2.50 for 5 apples or $0.70 for 1 apple.

which is the better buy if you want 5 apples? explain.

$2.50 for 5 apples is the better buy.

Step-by-step explanation:

first, we have to find out how much it costs to buy 1 apple.

option one: ($2.50 ÷ 5) is $0.50 per apple.  option two: $0.70 per apple.

now, we have to find out how much it costs to buy 5 apples with the second option. ($0.70 · 5) is $3.50 for five apples.

compare the prices:

option one: $2.50

option two: $3.50

option one is the better buy.

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.

54.864 meters

step-by-step explanation: