Solving Problems involving Proportional Thinking Regular

Front

What is proportional thinking?

Back

Proportional thinking is the ability to recognize and use ratios and proportions to solve problems involving relationships between quantities.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

If the ratio of sunfish to perch is 4:3, how do you find the number of perch if you know the number of sunfish?

Back

To find the number of perch, use the ratio to set up a proportion: (4 sunfish / 3 perch) = (300 sunfish / x perch). Solve for x.

Front

How do you solve a problem involving direct variation?

Back

In direct variation, if y varies directly with x, then y = kx, where k is a constant. Use known values to find k and then solve for unknowns.

Front

What is the formula to find the total waiting time based on the number of people in line?

Back

Total waiting time = (waiting time per person) x (number of people in line).

Front

If 5 ice cream cones are sold for every 3 brownies, how do you find the number of ice cream cones sold if you know the number of brownies?

Back

Set up a proportion: (5 cones / 3 brownies) = (x cones / 24 brownies). Solve for x.

Front

What does it mean for distance to vary directly with time?

Back

It means that as time increases, distance increases proportionally, following the formula: distance = speed x time.

Front

How do you calculate savings over time if you know the amount saved in a specific period?

Back

To find total savings, use the formula: total savings = (amount saved per week) x (number of weeks).

Front

What is the relationship between the number of people in line and the waiting time for a ride?

Back

The waiting time increases as the number of people in line increases, indicating a direct variation.

Front

If a car travels 280 miles in 7 hours, what is its speed?

Back

Speed = distance / time = 280 miles / 7 hours = 40 miles per hour.