Final Exam Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other. It is often represented as 'k' in the equation y = kx.

Front

How do you write an equation for a proportional relationship?

Back

To write an equation for a proportional relationship, identify the constant of proportionality and use the form y = kx, where k is the constant.

Front

If Craig earns $37 for 4 hours, what is his hourly rate?

Back

To find the hourly rate, divide the total earnings by the number of hours: $37 / 4 hours = $9.25 per hour.

Front

What is the formula to calculate the amount in a bank account after interest is applied?

Back

The formula is A = P(1 + r)^t, where A is the amount after t years, P is the principal amount, r is the interest rate, and t is the time in years.

Front

How do you calculate the percentage increase?

Back

Percentage increase = ((new value - old value) / old value) * 100.

Front

What is the temperature change if it goes from -13 degrees to 27 degrees?

Back

The temperature change is 27 - (-13) = 27 + 13 = 40 degrees.

Front

What does it mean for a quantity to be proportional?

Back

A quantity is proportional if it increases or decreases at a constant rate relative to another quantity.

Front

How do you find the total amount after a percentage increase?

Back

To find the total amount after a percentage increase, multiply the original amount by (1 + percentage increase as a decimal).

Front

What is the relationship between hours worked and earnings in a proportional relationship?

Back

In a proportional relationship, as the number of hours worked increases, the earnings increase at a constant rate.

Front

What is the significance of the constant of proportionality in real-life situations?

Back

The constant of proportionality helps to understand relationships between quantities, such as speed, cost per item, or rates of pay.