Question

Could somebody please help me? I'm struggling with this question:(​

Answer 1

Answer:

Slope is the charge per hour, y-intercept is the flat fee earned by Nicole and the equation to find the cost per hour is  $C=m(h)+3$

For $5$ hours of babysitting amount earned is $28$.

Step-by-step explanation:

From the given data lets assign time on x-axis and the amount earned on y-axis.

We have to choose two points.

$(x_1,y_1)=(3,18)$ and $(x,y)=(5,28)$

By applying point slope form we have to find the slope of the points.

Slope (m) $= \frac{y-y_1}{x-x_1} =\frac{28-18}{5-3} =\frac{10}{2} =5$

Here slope is representing per hour charge of Nicole for babysitting.

Now lets find the y-intercept value by plugging the values of $(x,y)$ in standard equation of line that is $y=mx+b$ ,equivalent to $C=m(h)+b$ where $b$ is the y-intercept.

The equation for cost (C), $C=m(h)+3$ , $h$ is the number of hours.

$b=C-m(h), b=28-5(5), b=28-25=3$

This y-intercept $(b=3)$ is representing the flat fee Nicole will charge for babysitting.

Now

For $5$ hours cost we will put $h=5$ in the equation of cost.

$C=5h+3,C=5(5)+3=28$

For $5$ hours of baby sitting Nicole will earn an amount of $C=5(5)+3=28$

So our final answers are equation of cost $=C=m(h)+3$, y-intercept is the flat fee and slope is the charge per hour.For $5$ hours amount earned is $28$.