Question

Which of the following equations could be used to determine the value of m, where Bill burned a total of 210 calories?

a) 14+3(14m)=210
b) 14+3m=210
c) 14⋅4(m−3)=210
d) 4⋅(m+3)=210

Answer 1

To determine the value of m, where Bill burned a total of 210 calories, the correct equation is 14+3m=210. By solving this equation, we can find the value of m.

Step-by-step explanation:

To determine the value of m, where Bill burned a total of 210 calories, we need to find the equation that represents this situation. Let's analyze the given options:

1. a) 14+3(14m)=210: This equation involves multiplying 14 by 3 and then multiplying the result by 14m. It does not match the given situation.
2. b) 14+3m=210: This equation represents the situation accurately. We have 14 added to 3 multiplied by m equals to 210.
3. c) 14⋅4(m−3)=210: This equation involves subtracting 3 from m and then multiplying the result by 14 times 4. It does not match the given situation.
4. d) 4⋅(m+3)=210: This equation involves adding 3 to m and then multiplying the result by 4. It does not match the given situation.

Therefore, the correct equation to determine the value of m is 14+3m=210. By solving this equation, we can find the value of m.