Amy drove her go-kart around a track times. She drove a total of kilometers.

Question

(a)Let be the distance around the track (in kilometers). Write an equation that can be used to find . First choose an appropriate form. Then fill in the blanks with the letter and the numbers and .








(b)Solve your equation for to find the distance around the track.

Answer 1

Let's break this down step-by-step.

(a) Writing the Equation

Let:

• \( d \) be the distance around the track (in kilometers).
• \( n \) be the number of times Amy drove around the track.
• \( D \) be the total distance driven (in kilometers).

The relationship between these quantities can be expressed as: \[ D = n \cdot d \]

In this case, we fill in the blanks with:

• The letter \( d \) (for distance around the track),
• The number \( n \) (for the number of laps), and
• The number \( D \) (for the total distance).

So, the equation can be written as: \[ D = n \cdot d \]

(b) Solving for \( d \)

To solve for \( d \), we rearrange the equation: \[ d = \frac{D}{n} \]

This means that the distance around the track can be found by dividing the total distance by the number of laps.

If you provide specific values for \( D \) and \( n \), I can help further by calculating the exact distance \( d \).