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This equation shows how the distance traveled by a car is related to the time spent driving. $d = 50t + 10$ . The variable $t$ represents the time in hours, and the variable $d$ represents the distance in miles. How far does the car travel in $2$ hours?

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Find a value using two-variable equations: word problems

Full solution

Q. This equation shows how the distance traveled by a car is related to the time spent driving.

d = 50t + 10

. The variable

t

represents the time in hours, and the variable

d

represents the distance in miles. How far does the car travel in

2

hours?

Identify variable time: Identify the variable that corresponds to the time spent driving. The variable $t$ represents the time in hours. For this problem, we are given that the time spent driving is $2$ hours, so $t = 2$ .
Substitute value into equation: Substitute the value of $t$ into the equation $d = 50t + 10$ . We have $t = 2$ , so we plug this into the equation to get $d = 50 \times 2 + 10$ .
Perform calculation to find distance: Perform the calculation to find the distance $d$ . $d = 50 \times 2 + 10$ $d = 100 + 10$ $d = 110$

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