Finding the rate of change from a word problem

The video tutorial explains how to solve a rate of change problem using a word problem about a teacher's weight over time. It covers identifying dependent and independent variables, calculating the rate of change, and understanding why time is always an independent variable.

What is the initial weight of the teacher in the given problem?

• 200 pounds

• 109 pounds

• 145 pounds

• 190 pounds

Which of the following is the dependent variable in the problem?

• Height

• Weight

• Age

• Year

How do you calculate the rate of change in this context?

• Weight multiplied by time

• Time subtracted from weight

• Change in time divided by change in weight

• Change in weight divided by change in time

What is the simplified rate of change in the teacher's weight?

• 5 pounds per year

• 15 pounds per 7 years

• 7 pounds per 15 years

• 10 pounds per year

Why is time considered an independent variable?

• Because it depends on weight

• Because it progresses regardless of other factors

• Because it is a constant value

• Because it is measured in years

What does the rate of change tell us about the teacher's weight?

• The exact weight at any given year

• The average weight gain over a period

• The weight loss over a period

• The weight at the start of the period

If the teacher's weight gain pattern continues, what can be predicted?

• The teacher's weight will decrease over time

• The teacher will lose weight

• The teacher's weight will remain constant

• The teacher will gain weight at the same rate