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QuestionFind an equation for the average speed of an airplane in miles (M)(M) per hour (h)(h) based on its travel data.

Studdy Solution

STEP 1

Assumptions1. The table represents the distance traveled by an airplane over time. . The distances are in miles (M) and the times are in hours (h).
3. The airplane is traveling at a constant speed.

STEP 2

We can find the average speed of the airplane by using the formula for speed, which is distance divided by time.
Speed=DistanceTimeSpeed = \frac{Distance}{Time}

STEP 3

From the table, we can see that the airplane travels900 miles in2 hours and1800 miles in hours. This suggests that the airplane is traveling at a constant speed.

STEP 4

We can use the distances and times from the table to find the speed of the airplane. Let's use the values from the2 hour time point.
Speed=900 miles2 hoursSpeed = \frac{900\, miles}{2\, hours}

STEP 5

Calculate the speed.
Speed=900 miles2 hours=450 miles/hourSpeed = \frac{900\, miles}{2\, hours} =450\, miles/hour

STEP 6

We can write the equation for the speed of the airplane as a function of time (h) and distance (M). Since the speed is constant, the equation will beM=Speed×hM = Speed \times h

STEP 7

Substitute the calculated speed into the equation.
M=450 miles/hour×hM =450\, miles/hour \times hThe equation representing the average speed of the airplane in miles (M) per hour (h) isM=450hM =450h

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