Problem

You drive along the highway at a constant speed of 65 miles per hour. How far do you travel in 2.9 hours? In 6.6 hours? Write a statement that describes how one variable varies with respect to another. Your distance traveled changes with respect to time at a rate of 65 miles per hour. The rate of change is \( 65 \mathrm{mi} / \mathrm{hr} \). In 2.9 hours, you travel 141.375 miles. In 6.6 hours, you travel 321.75 miles. Your distance traveled changes with respect to time at a rate of 65 miles per hour. The rate of change is \( 65 \mathrm{mi} / \mathrm{hr} \). In 2.9 hours, you travel 235.625 miles. In 6.6 hours, you travel 536.25 miles. Your distance traveled changes with respect to time at a rate of 65 miles per hour. The rate of change is \( 65 \mathrm{mi} / \mathrm{hr} \). In 2.9 hours, you travel 94.25 miles. In 6.6 hours, you travel 214.5 miles. Your distance traveled changes with respect to time at a rate of 65 miles per hour. The rate of change is \( 65 \mathrm{mi} / \mathrm{hr} \). In 2.9 hours, you travel 188.5 miles. In 6.6 hours, you travel 429 miles.

Answer

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Answer

\( D_2 = 429 \mathrm{mi} \)

Steps

Step 1 :\( \mathrm{Distance} = \mathrm{Speed} \times \mathrm{Time} \)

Step 2 :\( D_1 = 65 \mathrm{mi} / \mathrm{hr} \times 2.9 \mathrm{hr} \)

Step 3 :\( D_1 = 188.5 \mathrm{mi} \)

Step 4 :\( D_2 = 65 \mathrm{mi} / \mathrm{hr} \times 6.6 \mathrm{hr} \)

Step 5 :\( D_2 = 429 \mathrm{mi} \)

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