Question

the table shows two functions representing the prices of purchasing different amounts of broccoli and cauliflower. broccoli amount (lbs) 2.5 3 3.25 4.15 cost ($) 3.00 3.60 3.90 4.98 cauliflower amount (lbs) 2.75 3.2 3.85 4.5 cost ($) 2.75 3.20 3.85 4.50 which function has the greater slope and what does it indicate? the broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower. the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.

Explanation:

Step1: Calculate broccoli's slope

Slope = $\frac{\Delta \text{Cost}}{\Delta \text{Amount}} = \frac{3.00 - 0}{2.5 - 0} = 1.2$

Step2: Calculate cauliflower's slope

Slope = $\frac{\Delta \text{Cost}}{\Delta \text{Amount}} = \frac{2.75 - 0}{2.75 - 0} = 1$

Step3: Compare slopes and interpret

Broccoli slope (1.2) > Cauliflower slope (1). Slope = cost per pound.

Answer:

The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.