Question

for each babysitting job, adam charges a fee for his bus fare plus an hourly rate. the graph shows how he calculates the cost of a babysitting job. write a linear function in the form y = mx + b to represent the situation.

Explanation:

Step1: Identify y-intercept ($b$)

The y-intercept is the value of $y$ when $x=0$. From the graph, when $x=0$, $y=2$, so $b=2$.

Step2: Calculate slope ($m$)

Use two points $(x_1,y_1)=(0,2)$ and $(x_2,y_2)=(1,8)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{8-2}{1-0}=6$

Step3: Form linear function

Substitute $m=6$ and $b=2$ into $y=mx+b$.
$y=6x+2$

Answer:

$y=6x+2$