Question

. Patty found a battery-powered toy car in her basement that moved at a speed of 23 mm per second. After she replaced the battery, the speed of the car increased by x mm per second. The car with the new battery can travel 50 mm in 2 seconds. Which equation would you solve to find x?A. 2(23+ x)=50B. 2(23)+ x=50C. 23x + 2=50D. 23(x+2)=50

Answer 1

Since the car with the new battery can travel 50 mm in 2 seconds, we can divide the distance by the time to find the new speed:

`(50)/(2)=25`

So the new speed is 25 mm per second.

Since the old speed is 23 mm per second and it was added to x, we have the equation:

`\begin{gathered} 23+x=25 \\ x=25-23 \\ x=2 \end{gathered}`

So the value of x is 2.

The equation 23 + x = 25 can be rewritten as:

`\begin{gathered} 23+x=(50)/(2) \\ 2(23+x)=50 \end{gathered}`

So the correct option is A.