Question

During lunch time at a food truck, 80 of the 200 customers ordered tacos. (a)Draw a double number line that can be used to find the percentage of the customers who ordered tacos. (b)What percentage of the customers ordered tacos?

Answer 1

The double number line representing customers who ordered tacos out of 200 is marked from 0 to 80. The percentage of customers who ordered tacos is 40%, calculated as 80/200.

(a) Draw a Double Number Line:

|---------------------|---------------------|

0 80 200

Represent the number of customers who ordered tacos (80) on the double number line.

(b) Percentage of Customers who Ordered Tacos:

To find the percentage, set up a proportion:

`\[ \frac{\text{Number of customers who ordered tacos}}{\text{Total number of customers}} = (80)/(200) \]`

Simplify the fraction:
`\[ (2)/(5) \]`

Now, convert the fraction to a percentage:
`\[ (2)/(5) * 100\% = 40\% \]`

So, 40% of the customers ordered tacos during lunch.

The double number line, ranging from 0 to 80 out of 200, illustrates that 40% of customers ordered tacos during lunch at the food truck. The percentage was derived by comparing the number of taco orders to the total customers.