A music teacher budgets $150 for new books. The minimum cost of a new book is $12. (inequality) A) How many books can she buy?

B) Is this a minimum or a maximum amount? Explain.​

A) 12 books

B) Maximum, if she bought one more book she would be 6$ over budget

Step-by-step explanation:

A) 150 ÷ 12 = 12.5

you can't buy half a book & 13 books is over budget so 12

B) she can't buy more than 12

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

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.