Sara and her family went to eat at Pappasito's for dinner. The total cost of the meal is $76.50. Sara left a 10% tip.

Determine their total cost, including the tip.

$ 84.15

Step-by-step explanation:

Ten percent of $76.50 is $7.65 (Move the decimal one place to the left).

To determine the total cost of the meal plus the tip, add the two together:

  $  76.50

+ $    7.65

     $ 84.15

The answer to your question is $84.15

Step-by-step explanation:

Data

cost of the meal = $76.50

tip 10%

total cost = ?

Process

1.- Calculate the 10% of $76.50 using proportions and cross multiplication.

             $76.50 100%

                   x      10%

                      x = (10 x 76.5) / 100

                      x = 765/100

                      x = 7.65

2.- Calculate the total cost

Total cost = cost of the meal + tip

-Substitution

Total cost = $76.50 + $7.65

-Result

Total cost = $84.15

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.