Answer:
5 hours 40 minutes can they stay out.
An algebraic equation, y =6x
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.
Let x represents the hours and y represents the cost.
As per the statement: Erica babysits for 4.5 hours and is paid $27.
Unit rate per hour(m) = [tex]\frac{27}{4.5}= $6[/tex]
Line of equation with no intercept is given by:
y = mx .....[1]; where m represents the slope or unit rate.
Also, it is given if the people she babysits for have $34 to pay her.
⇒ y = $34
substitute the given values in [1] to solve for x;
[tex]34 = 6 \times x[/tex]
Divide both sides by 6 we get;
[tex]x = \frac{34}{6} = 5\frac{4}{6}[/tex] hours
or
x = 5 hours 40 minutes
Therefore, 5 hours 40 minutes can they stay out.
Also, algebraic equation: y =6x
