Question

Which of the following situations represents a direct variation between x and y?

a) Dana will travel 150 miles.
x = the speed at which Dana is traveling
y = the number of hours she will be traveling
b) Jamal earns a fixed pay of $300 every week.
x = the number of hours he works during the week
y = the pay he earns per hour
c) Max earns $10 for each car he washes.
x = the number of cars he washes
y = the total amount of money he earns
d) The area of a rectangle is exactly 24 square inches.
x = the length of the rectangle
y = the width of the rectangle

Answer 1

A direct variation is a relationship between two variables, x and y, where the ratio between them remains constant. In this case, the situation that represents a direct variation between x and y is Dana will travel 150 miles.

Step-by-step explanation:

Direct variation is a relationship between two variables, x and y, where the ratio between them remains constant. In this case, a direct variation exists when y is directly proportional to x, meaning that as x increases, y also increases in a consistent manner. Looking at the given options, the situation that represents a direct variation between x and y is a) Dana will travel 150 miles. In this situation, x is the speed at which Dana is traveling and y is the number of hours she will be traveling.