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. drag numbers to complete a linear function in terms of x and y to model the situation. numbers may be used once, more than once, or not at all. graph with y-axis labeled total cost ($) from 0 to 20, x-axis labeled time (hours) from 0 to 3, points at (0,2), (1,8), (2,14), and numbers 2, 3, 4, 6, 8 below the graph, with y = x +

Explanation:

Step1: Identify y-intercept (fixed fee)

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

Step2: Calculate slope (hourly rate)

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

Step3: Form linear function

Linear form: $y = \text{slope}x + \text{y-intercept}$

Answer:

$y = 6x + 2$