Question

A . write an equation B . how much money would the babysitter make if she babysat for 20 hours total ?

Answer 1

y = 3/2 x +1

For 20 hours is 31

Explanation:

The equation of a line with slope m and y-intercept b is

`y=mx+b`

The two points that lie on the line of best fit are (6, 10) and (4, 7); therefore, the slope is

`m=(\Delta y)/(\Delta x)=(10-7)/(6-4)=(3)/(2)`

Therefore, our equation becomes

`y=(3)/(2)x+b`

The y-intercept is found by putting in x = 4 and y = 7 in the equation

`7=(3)/(2)(4)+b`

Solving for b gives

`\begin{gathered} 7=6+b \\ \boxed{b=1} \end{gathered}`

Hence the equation of the line is

`y=(3)/(2)x+1`

With the equation of the line in hand, we now find the amount of money earned with 20 hours of babysitting.

`y=(3)/(2)(20)+1`
`\boxed{y=31.}`

Hence, the answers are

y = 3/2 x +1

For 20 hours is 31