Question

A bicycle shop rent bicycles by the hour. It charges and equipment fee with every rental. The graph shows the cost of renting a bicycle for different periods of time. Drag numbers to complete a linear function in terms of why equals MX plus E tomorrow the situation. Numbers may be used once, more than once, or not at all.

Answer 1

y = 15x + 10

Step-by-step explanation:

Given a graph, we use the equation of line y = mx + b

m = slope

b = y-intercept

First let's find the slope using the formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} u\sin g\text{ any two points on the line: } \\ (2,40)\text{ and (4, 70)} \\ x_1=2,y_1=40,x_2=4,y_2\text{ = }70 \\ m\text{ = slope = }(70-40)/(4-2) \\ \text{slope = }(30)/(2)\text{ = 15} \end{gathered}`

The y-intercept is the value of y when x = 0. It is also the value of y when the line crosses the y-axis.

The value of cost when time is zero

The line crosses the y-axis at y = 10

Hence, the y-intercept is 10

The equation of line becomes:

y = 15x + 10