Question

there are 350 families who own pets in the lincoln valley neighborhood. this is 70% of the total number of families.
(a) create a double number line that can be used to find the total number of families in the neighborhood.

Explanation:

Step1: Define given values

Let the part (pet-owning families) = 350, percentage = 70% = 0.7, total families = $x$.

Step2: Set up percentage equation

The formula for percentage is $\text{Part} = \text{Percentage} \times \text{Whole}$, so:
$$350 = 0.7x$$

Step3: Solve for total families

Rearrange to solve for $x$:
$$x = \frac{350}{0.7} = 500$$

Step4: Populate double number line

• Top line (percentages): Mark 0%, 70%, 100%
• Bottom line (number of families): Mark 0, 350, 500

Answer:

Double number line:

• Top (percentage): 0, 70, 100
• Bottom (families): 0, 350, 500

Total number of families in the neighborhood: 500