Question

Vishal wants to burn at least 2,400 calories during his weekly workouts. He burns 400 calories per hour swimming and 600 calories per hour rollerblading. He decides to swim for 3 hours this week. How many hours must he rollerblade to reach his goal? Let x be the number of hours Vishal swims and y be the number of hours he rollerblades. Given that Vishal swims 3 hours, the number of hours spent rollerblading is represented by

A)y>2
B)y>=2
C)y>3
D)y>=3

Answer 1

y>=2

at least 2

Explanation:

Answer 2

Answer: The answer is
`(B)~~y\geq 2.`

Step-by-step explanation: Given that Vishal wants to burn at least 2,400 calories during weekly hours. He burns 400 calories per hour swimming and 600 calories per hour rollerblading.

Let 'x' and 'y' represents the number of hours Vishal swims and rollerblades respectively.

Also given that Vishal swims 3 hours, so total number of calories he burnt while swimming is given by

`400* x=400* 3=1200~\textup{calories}.`

Therefore, in order to burn at least 2,400 calories, we must have

`1200+600y\geq 2400\\\\\Rightarrow 600y\geq 2400-1200\\\\\Rightarrow 600y\geq 1200\\\\\Rightarrow y\geq 2.`

Thus, the number of hours Vishal spent rollerblading is represented by

`(B)~~y\geq 2.`