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Mathematics, 19.01.2022 08:50 dinarussell74

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Two fifth grade classes are attending an amusement park as a field trip. Their teachers
purchased the tickets for the class and the parent chaperones. Mrs. Taylor purchased 26 child
tickets and 23 adult tickets, which cost a total of $953. Mr. Arnold purchased 3 child tickets
and 11 adult tickets, paying a total of $352. What are the ticket prices?
The price of a child ticket is $ and the price of an adult ticket is $

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Answers: 1
ansver
Answer from: Quest

step-by-step explanation:

ansver
Answer from: Quest
Answer

1 number

explanation

if we use a graphing calculator, there is only one such number c\in[0.5,0.75] that satisfies the conclusion of the mean value theorem, that is, a number c\in[0.5,0.75] such that

  f'(c) = \dfrac{f(0.75) - f(0.5)}{0.75-0.5},

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.

ansver
Answer from: Quest
Ithink the answer is d.

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