Question

Sarah works at a dry cleaners. If Sarah irons at a constant rate, she can iron 12 small shirts in 18 minutes. Write the linear equation in two variables that represents the number of small shirt(s) Sarah can iron in any given time interval (t).

How many shirts could Sarah iron in 12 minutes?
If t=1 hour, s= ______.

Answer 1

Sarah can iron 8 shirts in 12 minutes

If t=1 hour, s=40

Explanation:

Sarah irons at a constant rate.

She can iron no. of small t-shirts in 18 minutes = 12

She can iron no. of small t-shirts in 1 minute =
`(12)/(18)=(2)/(3)`

Rate =
`(2)/(3)`

General equation : y=mx

Where m is the slope

Slope = rate of change

Substitute the rate in equation

So,
`y =(2)/(3) x`

`s=(2)/(3) t`

where t represents the minutes

t represents the no. of t shirts

Now we are supposed to find How many shirts could Sarah iron in 12 minutes

Substitute t = 12

`s =(2)/(3) (12)=8`

Sarah can iron 8 shirts in 12 minutes

If t=1 hour, s= ______.

1 hour = 60 minutes

`s =(2)/(3) (60)=40`

So,If t=1 hour, s=40