I need help on this one

13.7

Step-by-step explanation:

The question is asking us to build an algebraic model of this question, to do this, we need to use the slope intercept form.

Let's first identify the known data. We know that a pizza with two toppings is 9.95. In addition, we know that a topping itself is 1.25. We need to find the y intercept first in order to solve this equation, therefore we need to find how much a pizza his without the two toppings. So, we do 1.25(2)=2.5 and subtract it from 9.95. 9.95-2.5= 7.45. Now, this is our y intercept, because this will always stay the same and this is where we always start off. The slope itself however will be 1.25x, because x is the amount of toppings. So, as of now, we have constructed our equation

y=1.25x+7.45

We are looking to see how much a pizza is with 5 toppings, so we plug 5 into x

y=1.25(5)+7.45= 13.7

c) yes, because of asa or aas

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.