Question

question 4 1 point what is the slope intercept form of the equation of the line that models this situation? (fill each blank with an integer. any fractions should be in simplest form, and in improper form if necessary) y = \square x + \square

Explanation:

Step1: Define variables

Let $x$ = hours, $y$ = total cost

Step2: Calculate slope ($m$)

Use points $(1,60)$ and $(2,115)$:
$$m = \frac{115-60}{2-1} = 55$$

Step3: Find y-intercept ($b$)

Substitute $x=1, y=60, m=55$ into $y=mx+b$:
$$60 = 55(1) + b$$
$$b = 60 - 55 = 5$$

Step4: Write slope-intercept form

Substitute $m=55, b=5$ into $y=mx+b$:
$$y = 55x + 5$$

Answer:

$y = 55x + 5$