Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion to solve for an unknown height using shadows?

Back

You can set up a proportion by comparing the height of an object to the length of its shadow, and then equating it to the height of another object and its shadow length.

Front

If a 6-foot person casts a 2-foot shadow, what is the ratio of height to shadow length?

Back

The ratio is 6 feet (height) to 2 feet (shadow), which simplifies to 3:1.

Front

How do you find the height of an object using a known ratio?

Back

You can cross-multiply the known ratios and solve for the unknown height.

Front

What is the formula to calculate the cost per pound when given total cost and weight?

Back

Cost per pound = Total cost / Weight in pounds.

Front

If 39 wetsuits are produced every 2 weeks, how many wetsuits are produced in one week?

Back

19.5 wetsuits are produced in one week.

Front

How do you convert weeks to days when calculating production time?

Back

Multiply the number of weeks by 7 (days per week) to convert to days.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is defined by the formula: Distance = Rate x Time.

Front

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

Back

Average speed = Total distance / Total time = 280 miles / 7 hours = 40 miles per hour.

Front

How do you calculate the total distance traveled if you know the speed and time?

Back

Total distance = Speed x Time.