Grayson is ordering a taxi from an online taxi service. He has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far he travels. He
wrote an equation to represent his total cost, y = 2.9x + 4.5, where y represents
the total cost in dollars and cents, and x represents the number of miles he travels.
What could the number 2.9 represent in the equation?

the rate per mile or cost per mile

Step-by-step explanation:

2.9 the rate per mile he has to pay. it gives him the cost of the travel after a specific distance. this is excluding the the flat charge of 4.5 he has to pay.

c

step-by-step explanation:

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.