Answer:
Cost per night: 75
Equation: [tex] y = 75x + 50 [/tex]
Step-by-step explanation:
An equation to represent the situation can be written in the slope-intercept form, [tex] y = mx + b [/tex], where,
m = slope of the graph, which is the rate per night.
b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.
Let's find m, using two points on the line, (2, 200) and (4, 350)
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{350 - 200}{4 - 2} = \frac{150}{2} = 75 [/tex]
✅The cost per night = 75
y-intercept, b, = 50. The line intercepts the y-axis at y = 50, when x = 0.
Substitute m = 75, and b = 50 into [tex] y = mx + b [/tex].
✅The equation would be:
[tex] y = 75x + 50 [/tex]
