Hey there! :)
Answer:
16 minutes.
Explanation:
Create an equation in the form y = mx + b to solve this problem. Begin by solving for the rate of change of the table using the slope formula:
![m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mv0f01wjhclcpvv5w0mywnj72c5z3j64nn.png)
Plug in values from the table into the equation:
![m = (64 - 40)/(9 - 5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/owic477oc4rawy0ww55rd3gb5tf9komqfd.png)
Simplify:
![m = (24)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/57laar7oc7prcjzwlo8td4189mswhsi50u.png)
m = 6.
Plug in the slope and a point from the table into the equation
y = mx + b
40 = 6(5) + b
40 = 30 + b
40 - 30 = b
b = 10.
Rewrite the equation:
y = 6x + 10
To solve for how long it took her to ride 1 km, plug 1 into the equation:
y = 6(1) + 10
y = 6 + 10
y = 16 minutes.