Fifteen tickets cost $193.75. what is the average cost of each ticket?

$12.92

Step-by-step explanation

If 15tickets costs $193.75, this can be expressed using an equality sign as;

15tickets = $193.75

To find the average cost of each ticket, we can expressed that as;

1ticket = $x where x is the unknown value of 1 ticket.

Cross multiplying both expression:

15tickets = $193.75

1ticket = x

x × 15 = 1×193.75

x = $193.75/15

x = $12.92

This means that each ticket approximately costs $12.92

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.

the one below it is a function