Respuesta :

MarkV
Hi there!

Let's solve this problem step by step!

Kala plans both to run and swim, which will both cost her a certain amount of time.

* Each lap running costs her 5 minutes and r represents the amount of laps that Kala runs. Her total time spend running can be found by multiplying her amount of runs (represented by r) by the time it costs her to run 1 round (which is 5 minutes). We will find the following expression for total time running:
5 × amount of laps = 5 × r = 5r

* Each lap swimming costs her 2 minutes and s represents the amount of laps that Kala swims. Her total time spend swimming can be found by multiplying her amount of laps (represented by s) by the time it costs her to swim 1 round (which is 2 minutes). We will find the following expression for total time swimming:
2 × amount of laps = 2 × s = 2s

Now we can express her total time exercising by adding our two found expressions.
5r + 2s

Our final step is setting up the inequality. Kala plans to exercise for more than 45 minutes, and therefore our recently found sum must be bigger than 45. Mathematically:
[tex]5r + 2s > 45[/tex]

~ Hope this helps you!

r is the number of laps she runs and it takes 5 minutes to run each lap

s is the number of laps she swims and it takes 2 minutes to swim each lap

She wants to exercise for more than 45 minutes today

Equation:

5r + 2s > 45