Question

Erica babysits for 4.5 hours and is paid $27. If the people she babysits for have $34 to pay her, how long can they stay out?

Find the algebraic equation

Answer 1

5 hours 40 minutes can they stay out.

An algebraic equation, y =6x

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) =
`(27)/(4.5)= $6`

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;

`34 = 6 * x`

Divide both sides by 6 we get;

`x = (34)/(6) = 5(4)/(6)` hours

or

x = 5 hours 40 minutes

Therefore, 5 hours 40 minutes can they stay out.

Also, algebraic equation: y =6x