Video: Writing and Solving Two-Unknown Linear Equations in Word Problems

Renting a truck costs $75 per day plus $0.20 for each mile traveled. First, write a linear equation for the total daily cost 𝑦 using 𝑥 to represent the number of miles traveled in a day. Then, find the total cost for one day on which 70 miles were traveled.

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Video Transcript

Renting a truck costs 75 dollars per day plus 20 cents for each mile traveled. First, write a linear equation for the daily cost 𝑦 using 𝑥 to represent the number of miles traveled in a day. Then, find the total cost for one day on which 70 miles were traveled.

We are told in the question that the cost of the truck is 20 cents for each mile traveled. As 𝑦 is the daily cost and 𝑥 is the number of miles traveled, 𝑦 is equal to 0.2 multiplied by 𝑥. We also need to add the standard renting cost of 75 dollars per day. The daily cost 𝑦 is equal to 0.2𝑥 plus 75.

The second part of our question asks us to find the total cost when 70 miles are traveled. This means that 𝑥 is equal to 70. Substituting in this value gives us 𝑦 is equal to 0.2 multiplied by 70 plus 75. Two multiplied by 70 is 140. Therefore, 0.2 multiplied by 70 is 14. Adding 14 and 75 gives us a total cost of 89 dollars. This is the total cost for one day on which 70 miles were traveled.

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