The distance d in miles that a car travels in t hours at a rate of 58 miles per hour is given by the equation d=58t. What is the best estimate of how far a car travels in 7 hours?

Answer 1

The car travels #color(blue)406# miles in 7 hours.

We are already given an equation, with #color(blue)d# meaning distance (miles) and #color(red)t# meaning hours (time).
#color(blue)d = 58color(red)t#
Now we can plug in #color(red)7# for #color(red)t# since it is a hour value.
#color(blue)d = 58(color(red)7)#

Now simplify to find the desired distance.

#color(blue)d = color(blue)(406)#
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Answer 2

To find the distance a car travels in 7 hours, substitute 7 for t in the equation d=58t:

d = 58 * 7 = 406 miles.

So, the best estimate of how far a car travels in 7 hours is 406 miles.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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