find the unit rate and use it to write an equation relating the two quantities?

62 dollars to rent 14 video games

62/14?

Right.

To find the unit rate, you need to divide the total quantity (in this case, the 62 dollars) by the number of units (in this case, the 14 video games). So, dividing 62 by 14 gives you the unit rate.

Unit rate = 62/14

Simplifying the fraction gives:

Unit rate = 4.43 dollars per video game (rounded to two decimal places)

To write an equation relating the two quantities (dollars and video games), you can use the unit rate as the rate of change multiplied by the number of video games.

Let x be the number of video games:

Cost of renting = Unit rate * Number of video games

Therefore, the equation relating the cost of renting (in dollars) and the number of video games is given by:

Cost of renting = 4.43 * x

This equation allows you to calculate the cost of renting any number of video games based on the unit rate.