An event center charges a flat $65 fee plus $5 per guest to rent a conference room with a maximum capacity of 30 guests. the function c(t) describes the cost of renting the room, where t is the number of guests. c=(t)=65+5t

215.

Step-by-step explanation:

65 + 5(30) = maximum price of renting conference room.

65 + 5(30) = 215

12*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.