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the distance, d, in miles that a car has driven over t hour is given by the equation: d = 58t. what is the constant of proportionality with correct unit

User Lovelee
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1 Answer

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Given the equation:

d = 58t

Where d is the distance(miles) and t is the time(hour).

Using the distance formula:

Distance = speed x time

Where, speed = 58 miles/hr.

Using the equation:

y = kx

Where k is the constant of proportionality

The constant of proportionality can be said to be the ratio betwen two proportional quantities.

Compare both equations:

d = 58t

y = kx

Therefore, the constant of proprtionality is 58 miles per hr.

Here, the car will drive for 58 miles in one hour, which is the speed.

Since the constant of proportionality is the speed, the correct unit of speed is mph.

The constant of proportionality with the correct unit​ is = 58 mph

ANSWER:

58 mph

User Licelot
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