Question

2. A person makes $1,800 per month, but 1/3 of that amount goes to her rent. Ehat two numbers can you multiply to find out how much she has after paying her rent?

3. Write an expression that only uses multiplication and that is equivalent to c reduce by 1/8 of x​

Answer 1

You can multiply 600 and 2 to get 1200 Pt2: c-(1/8x)

Explanation:

since 1 third of 1800 is 600 and 1800-600=1200

Answer 2

1) You can multiply the following two numbers, by
`2` and by
`(1)/(3)`rent.

2) The expression that only uses multiplication and that is equivalent to
`c` reduced by
`(1)/(8)\cdot x` is
`c = (1)/(8)\cdot x`.

How to analyze and determine linear equations

1) The amount of left is found by following formula, that is, the salary minus rent costs, both expressed in dollars:

`x = \left(1-(1)/(3)\right)\cdot 1800`

`x = (2)/(3) \cdot 1800`

`x = 1200`

You can multiply the following two numbers, by
`2` and by
`(1)/(3)`, to find out how much she has after paying her rent.
`\blacksquare`

2) This case is represented by a linear expression of the form:

`c = r\cdot x` (1)

Where:

• 
  `x` - Independent variable
• 
  `c` - Dependent variable
• 
  `r` - Proportionality ratio

If we know that
`r = (1)/(8)`, then the expression is
`c = (1)/(8)\cdot x`.

The expression that only uses multiplication and that is equivalent to
`c` reduced by
`(1)/(8)\cdot x` is
`c = (1)/(8)\cdot x`.
`\blacksquare`