Question

the double number line shows the price of 1 cupcake.
cupcakes: 0, 1
price (dollars): 0, 1.5
complete the table to show the same information as the double number line.
cupcakes | price (dollars)
5 | blank
blank | 18
18 | blank

Explanation:

Step1: Find the unit price

From the double number line, 1 cupcake costs $1.5. So the unit price \( p = 1.5 \) dollars per cupcake.

Step2: Calculate price for 5 cupcakes

Use the formula \( \text{Total Price} = \text{Number of Cupcakes} \times \text{Unit Price} \). For 5 cupcakes: \( 5 \times 1.5 = 7.5 \) dollars.

Step3: Calculate number of cupcakes for $18

Use the formula \( \text{Number of Cupcakes} = \frac{\text{Total Price}}{\text{Unit Price}} \). For $18: \( \frac{18}{1.5} = 12 \) cupcakes.

Step4: Calculate price for 18 cupcakes

Using the total price formula: \( 18 \times 1.5 = 27 \) dollars.

Answer:

For 5 cupcakes, price is \( 7.5 \); for $18, number of cupcakes is \( 12 \); for 18 cupcakes, price is \( 27 \). So the table entries (from top to bottom) are \( 7.5 \), \( 12 \), \( 27 \).