Question

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

Answer 1

Answer:

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

$m=\frac{\Delta y}{\Delta x}=\frac{10-7}{6-4}=\frac{3}{2}$

Therefore, our equation becomes

$y=\frac{3}{2}x+b$

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

$7=\frac{3}{2}(4)+b$

Solving for b gives

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

Hence the equation of the line is

$y=\frac{3}{2}x+1$

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

$y=\frac{3}{2}(20)+1$$\boxed{y=31.}$

Hence, the answers are

y = 3/2 x +1

For 20 hours is 31