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Answer:
16 minutes.
Step-by-step 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:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in values from the table into the equation:
[tex]m = \frac{64 - 40}{9 - 5}[/tex]
Simplify:
[tex]m = \frac{24}{4}[/tex]
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.
