Question

Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?

Answer 1

The variable d in the equation represents the number of minutes Lilianna walked to the park. By substituting the given values into the equation, we can solve for d. After solving the equation step-by-step, we find that d represents 7 minutes.

Step-by-step explanation:

The variable d in the equation represents the number of minutes Lilianna walked to the park. The equation d(3/4 + 1) = 12 1/4 is used to calculate the total number of calories she burned while walking. By substituting the given values into the equation, we can solve for d. Let's solve it step-by-step:

1. Multiply d with the sum of 3/4 and 1 to get the total calories burned: 3/4 + 1 = 7/4.
2. Now, the equation becomes d * (7/4) = 12 1/4.
3. Let's convert 12 1/4 to an improper fraction: 12 1/4 = 49/4.
4. To isolate d, divide both sides of the equation by 7/4: d = 49/4 ÷ 7/4.
5. Dividing fractions is the same as multiplying by the reciprocal, so d = 49/4 * 4/7.
6. Simplify the multiplication: d = 49/7 = 7.

Therefore, the variable d represents 7 minutes, which is the amount of time Lilianna walked to the park.

Answer 2

Variable d represents the time per minute Lilianna spends in the park.

Step-by-step explanation:

Lilianna uses
`(3)/(4)` calories per minute just by sitting. She uses 1 more calorie per minute by walking.

Liliana uses a total of
`12(1)/(4)` calories walking to the park.

Lilianna uses the equation,
`d((3)/(4)+1)=12(1)/(4)` to represent the situation.

Here, variable d represents the time per minute she spends in the park.

and is given as,

`d((3)/(4)+1)=12(1)/(4)`

It can be written as,

`d((3)/(4)+1)=(49)/(4)`

Solving for d,

`d((3)/(4)+1)=(49)/(4)`

`\Rightarrow d((3+4)/(4))=(49)/(4)`

`\Rightarrow d((7)/(4))=(49)/(4)`

`\Rightarrow d=(49 * 4)/(4 * 7)`

`\Rightarrow d=7`

Thus, she spend d= 7 minutes total to the park.