# "Area in Functions" ~ Grade 7-9 Mathematics

- Author:
- Arpit Kesharwani

- Topic:
- Area, Functions, Mathematics

## What is the Volume of both of the shapes??? Grade 6, Geometery Unit 6.

## Cool Down

- Match each of these descriptions with a diagram:
- the circumference, C, of a circle with radius, r
- the distance in miles, d, that you would travel in t hours if you drive at 60 miles per hour
- the output when you triple the input and subtract 4
- the volume of a cube, v given its edge length, s

- Write an equation for each description that expresses the output as a function of the input.
- Find the output when the input is 5 for each equation.
- Name the
**independent**and**dependent variables**of each equation.

## Are you ready for more?

Choose a 3-digit number as an input and apply the following rule to it, one step at a time:

- Multiply your number by 7.
- Add one to the result.
- Multiply the result by 11.
- Subtract 5 from the result.
- Multiply the result by 13
- Subtract 78 from the result to get the output.

## Class Topic

Jada had some dimes and quarters that had a total value of $12.50. The relationship between the number of dimes, d, and the number of quarters, q, can be expressed by the equation 0.1d+0.25q=12.5.

- If Jada has 4 quarters, how many dimes does she have?
- If Jada has 10 quarters, how many dimes does she have?
- Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d=...) that you can use to determine the output, d, from a given input, q. If no, explain why not.
- If Jada has 25 dimes, how many quarters does she have?
- If Jada has 30 dimes, how many quarters does she have?
- Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q=...) that you can use to determine the output, q, from a given input, d. If no, explain why not.