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

Answer:

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

Step-by-step explanation:

Lilianna uses $\frac{3}{4}$ calories per minute just by sitting. She uses 1 more calorie per minute by walking.

Liliana uses a total of $12\frac{1}{4}$ calories walking to the park.

Lilianna uses the equation, $d(\frac{3}{4}+1)=12\frac{1}{4}$ to represent the situation.

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

and is given as,

$d(\frac{3}{4}+1)=12\frac{1}{4}$

It can be written as,

$d(\frac{3}{4}+1)=\frac{49}{4}$

Solving for d,

$d(\frac{3}{4}+1)=\frac{49}{4}$

$\Rightarrow d(\frac{3+4}{4})=\frac{49}{4}$

$\Rightarrow d(\frac{7}{4})=\frac{49}{4}$

$\Rightarrow d=\frac{49 \times 4}{4 \times 7}$

$\Rightarrow d=7$

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