QUESTION IMAGE
Question
- people get energy from the food they eat. this energy is measured in calories. when you exercise, you use up or burn calories. the picture shows about how many calories a 120-pound person burns each minute bowling. how many calories does a 120-pound person burn in 3 hours of bowling?
about 720 calories.
- use the information from problem 3 to write an equation representing the number of calories burned each minute while bowling. let t represent the number of minutes a 120-pound person bowls. let c represent the number of calories burned.
3.9
(use the operation symbols in the math palette as needed. type an equation. use integers or decimals for any numbers in the equation.)
Step1: Find calories burned per minute
From problem 3, a 120 - pound person burns 720 calories in 3 hours. First, convert 3 hours to minutes. Since 1 hour = 60 minutes, 3 hours = \(3\times60 = 180\) minutes. Then, the calories burned per minute \(r=\frac{720}{180}=4\) calories per minute. (Alternatively, if we use the 3.9 from the box, maybe there was a typo or different data, but following problem 3: 3 hours = 180 minutes, 720 calories in 180 minutes, so rate is \(720\div180 = 4\) per minute. But if we consider the 3.9, maybe the initial data is different. Wait, problem 3 says "about 720 calories" for 3 hours. Let's re - check: 3 hours = 180 minutes. So calories per minute \(=\frac{720}{180}=4\). So the rate of burning calories is 4 calories per minute.
Step2: Write the equation
The number of calories burned \(c\) is equal to the rate of burning calories per minute times the number of minutes \(t\). So the equation is \(c = 4t\). (If we use the 3.9, maybe the rate is 3.9, but according to problem 3, 720 calories in 3 hours (180 minutes) gives \(720\div180 = 4\). So the correct equation based on problem 3 is \(c = 4t\).)
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\(c = 4t\) (or if using 3.9, \(c=3.9t\), but based on problem 3's 720 calories in 3 hours, \(c = 4t\))