Gianna filled up her car with gas before embarking on a road trip across the country. The capacity of Gianna's gas tank is 15 gallons and the car uses 1.25 gallons of gas for every hour driven. Make a table of values and then write an equation for G, G, in terms of t, t, representing the number of gallons of gas remaining in Gianna's gas tank after tt hours of driving.

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.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.