Question

Which of the following quantities are directly proportional? (Answer if they are directly proportional or not) PLS HELP ASAP

A) distance and time traveled if speed is a constant 77 mph
B) speed and time if the distance traveled is 110 miles
C) the price per item and the number of items bought if the amount of money spent is constant

Answer 1

Distance and time traveled are directly proportional if speed is constant. Speed and time are not directly proportional. The price per item and the number of items bought are inversely proportional if the amount of money spent is constant.

Step-by-step explanation:

A) Distance and time traveled are directly proportional if speed is constant. This is because speed is defined as the distance traveled divided by the time taken. So, as long as the speed remains constant at 77 mph, the distance and time will be directly proportional.

B) Speed and time are not directly proportional. Speed is defined as the distance traveled divided by the time taken. In this scenario, if the distance traveled is 110 miles, the time taken will vary depending on the speed.

C) The price per item and the number of items bought are inversely proportional if the amount of money spent is constant. As the price per item decreases, the number of items bought will increase to maintain the constant amount spent.