To determine if the cost of apples is proportional to the weight of apples, we need to check if the ratios of cost to weight are equal for all rows in the table.
For the apples:
In row 1, the cost of apples is $3.76 for 2 pounds.
In row 2, the cost of apples is $5.64 for 3 pounds.
In row 3, the cost of apples is $7.52 for 4 pounds.
In row 4, the cost of apples is $9.40 for 5 pounds.
Let's calculate the ratios:
Row 1: Cost/Weight = $3.76 / 2 = $1.88
Row 2: Cost/Weight = $5.64 / 3 ≈ $1.88
Row 3: Cost/Weight = $7.52 / 4 = $1.88
Row 4: Cost/Weight = $9.40 / 5 = $1.88
As we can see, the ratios of cost to weight are all equal to $1.88. Therefore, the cost of the apples is indeed proportional to the weight of the apples.
For the pizza:
In row 1, the cost of pizza is $11.99 for 2 toppings.
In row 2, the cost of pizza is $13.49 for 3 toppings.
In row 3, the cost of pizza is $14.99 for 4 toppings.
In row 4, the cost of pizza is $16.49 for 5 toppings.
Let's calculate the ratios:
Row 1: Cost/Toppings = $11.99 / 2 ≈ $5.995
Row 2: Cost/Toppings = $13.49 / 3 ≈ $4.497
Row 3: Cost/Toppings = $14.99 / 4 ≈ $3.7475
Row 4: Cost/Toppings = $16.49 / 5 ≈ $3.298
The ratios for the pizza toppings are not equal. Therefore, the cost of the pizza is not proportional to the number of toppings.
Equation for the proportional relationship:
For the apples, the equation for the proportional relationship is:
Cost of apples = $1.88 x weight of apples
For the pizza, since there is no proportional relationship, we cannot write an equation for it.