Answer:
The possible numbers of calories that we will burn are 175 and 350 calories, respectively.
Step-by-step explanation:
From statement we know that 35 calories are burnt every 3 minutes while running on a treadmill. The total amount of calories burnt ([tex]C[/tex]) as a function of time is:
[tex]C = c\cdot \Delta t[/tex]
Where:
[tex]c[/tex] - Calories burn rate, measured in calories per minute.
[tex]\Delta t[/tex] - Time, measured in minutes.
Now, we get the calories burn rate as follows:
[tex]c = \frac{35\,cal}{3\,min}[/tex]
[tex]c\approx 11.667\,\frac{cal}{min}[/tex]
And minimum and maximum amounts of calories are:
Minimum amount ([tex]t = 15\,min[/tex])
[tex]C = \left(11.667\,\frac{cal}{min} \right)\cdot (15\,min)[/tex]
[tex]C = 175.005\,cal[/tex]
Maximum amount ([tex]t = 30\,min[/tex])
[tex]C = \left(11.667\,\frac{cal}{min} \right)\cdot (30\,min)[/tex]
[tex]C = 350.010\,cal[/tex]
The possible numbers of calories that we will burn are 175 and 350 calories, respectively.
