Proportions, Ratios, Slope and Finding Unknown Equivalent Expressions

What is a direct proportion?

Where a quantity increases by a set amount or decreases by the same amount

Would a example of a car driving at a constant driving speed be a direct proportion or indirect proportion?

Direct proportion

because the distance to be traveled and the time required to travel are the same.

What is an inverse proportion?

An increase in one quantity is accomplished by a decrease in the other

Would this be an example of a direct proportion or indirect proportion?

A car decreases the trip time due to increasing the speed

Indirect proportion

At a school, for every 20 female students there are 15 male students. This same student ratio happens to exist at another school. If there are 100 female students at the second school, how many male students are there?

75 male students

In a hospital emergency room, there are 4 nurses for everv 12 patients. What is the ratio of nurses to patients? If the nurse-to-patient ratio remains constant, how many nurses must be present to care for 24 patients?

1:3 and 8 nurses

In a bank, the banker-to-customer ratio is 1:2. If seven bankers are on duty, how many customers are currently in the bank?

14 customers

Janice made $40 during the first 5 hours she spent babysitting. She will continue to earn money at this rate until she finishes babysitting in 3 more hours. Find how much money Janice earns per hour and the total she earned babysitting.

$8 an hour and $64 in total

45/12 = 15/x

X=4

0.50/2 = 1.50/x

X=6

40/8 = X/24

X=120