Everyday Isabel swims 10-20 laps in a 50 meter pool. The amount of time she spends swimming is represented by the function f(x) = 3x where x represents the number of laps she swims.

Given :

Everyday Isabel swims 10-20 laps in a 50 meter pool.

The amount of time she spends swimming is represented by the function f(x) = 3x .

To Find :

The speed of Isabel.

Solution :

Distance travelled in x laps is, D = 50x .

It is given that time taken is, t = 3x .

So, speed of Isabel is given as :

Hence, this is the required solution.

-2 is the right

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have