Ess 5.1-5.4 Rev: Solving Proportions

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height of object = (Height of shadow / Length of shadow) * Length of object shadow.

Front

If a hiker's height is 5.8ft and her shadow is 7ft, what is the ratio of her height to her shadow?

Back

The ratio is 5.8:7.

Front

If a cliff casts a shadow of 50ft, how can you find its height using the hiker's measurements?

Back

Set up a proportion: (5.8 / 7) = (Height of cliff / 50).

Front

What is the cost of one box of cookies if 28 boxes cost $588?

Back

The cost of one box is $588 / 28 = $21.

Front

How do you find the total cost for multiple items?

Back

Multiply the cost of one item by the number of items.

Front

What is the relationship between hours paid and total cost in a proportional situation?

Back

The total cost is directly proportional to the number of hours.

Front

If Finley pays $53.75 for 5 hours, what is the cost per hour?

Back

Cost per hour = $53.75 / 5 = $10.75.

Front

How do you calculate the cost for a different number of hours based on a known rate?

Back

Multiply the cost per hour by the number of hours desired.