TRAVEL It is about 350 miles from Ruidoso, New Mexico, to Abilene, Texas. Haruko has already driven 75 miles and made it to Roswell, New Mexico. She hopes to finish the rest of her trip, including stops, in 5 hours. Write an equation to find the average speed Haruko needs to drive to finish the rest of her trip in 5 hours.

55 mph

Step-by-step explanation:

Given that:

Total miles of journey = 350 miles

Miles already driven = 75 miles

To cover the rest of the journey in 5 hours, the average speed of travel. Will be:

Recall:

Speed = (Distance left to cover ÷ budgeted travel time)

Distance left to cover : (total miles - distance already driven)

Average speed required = (350 - 75) / 5

= 275 / 5

= 55 mph

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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.