Question

It took Brian 3 hours to drive to a rock concert. On the way home, he was able to increase his average speed by 23 mph and make thereturn drive in only 2 hours. Find his average speed on the return drive.Step 2 of 3: Use the table from part 1 to help write a linear equation that represents the given word problem. (Use x to represent theunknown quantity.) Do not simplify your answer.

Answer 1

Data:

• OD: 3 hours

,

• Increase by 23mph

,

• RH: 2 hours

,

• Linear equation

`y=mx+b`

Procedure

As time is the independent variable and based on the table, we can write the equation as follows to get x:

`3x=2\cdot(x+23)`

As the problem is asking not to simplify, then the answer is:

`3x=2\cdot(x+23)`