Question

Diamond spends a total of 45 minutes singing and She burns 5 calories per minute singing and 15 calories per minute dancing.Create an equation comparing the number of minutes Diamond spends singing (s) and the number of minutes she spends dancing (d) to the total number of calories she burns (C).Solve the equation to determine the total number of calories Diamond burns if she spends 20 minutes of her time singing.my teacher said base the on her spending 20 minutes singing

Answer 1

475 calories.

Step-by-step explanation:

The number of minutes Diamond spends singing = s

The number of minutes she spends dancing =d

Since she spends a total of 45 minutes singing

• s+d=45

Since she spends 20 minutes of her time singing.

• s=20 minutes

Substitution into: s+d=45

`\begin{gathered} 20+d=45 \\ d=45-20=25 \end{gathered}`
`\text{Rate}=\frac{Number\text{ of calories burned}}{Time}`

The number of calories burned = Time X Rate

Therefore:

`C=5s+15d`

We then substitute s=20 minutes, d=25 minutes into C.

`\begin{gathered} C=5s+15d \\ =5(20)+15(25) \\ =100+375 \\ =475 \end{gathered}`

The total number of calories Diamond burns is 475 calories.