1) You can multiply the following two numbers, by [tex]2[/tex] and by [tex]\frac{1}{3}[/tex]rent.
2) The expression that only uses multiplication and that is equivalent to [tex]c[/tex] reduced by [tex]\frac{1}{8}\cdot x[/tex] is [tex]c = \frac{1}{8}\cdot x[/tex].
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:
[tex]x = \left(1-\frac{1}{3}\right)\cdot 1800[/tex]
[tex]x = \frac{2}{3} \cdot 1800[/tex]
[tex]x = 1200[/tex]
You can multiply the following two numbers, by [tex]2[/tex] and by [tex]\frac{1}{3}[/tex], to find out how much she has after paying her rent. [tex]\blacksquare[/tex]
2) This case is represented by a linear expression of the form:
[tex]c = r\cdot x[/tex] (1)
Where:
- [tex]x[/tex] - Independent variable
- [tex]c[/tex] - Dependent variable
- [tex]r[/tex] - Proportionality ratio
If we know that [tex]r = \frac{1}{8}[/tex], then the expression is [tex]c = \frac{1}{8}\cdot x[/tex].
The expression that only uses multiplication and that is equivalent to [tex]c[/tex] reduced by [tex]\frac{1}{8}\cdot x[/tex] is [tex]c = \frac{1}{8}\cdot x[/tex]. [tex]\blacksquare[/tex]
