2. the graph shows the cost c in dollars of w pounds of blueberries, a proportional relationship. select all…

2. the graph shows the cost c in dollars of w pounds of blueberries, a proportional relationship. select all the true statements.\n1 pound of blueberries costs $2.75.\n2.75 pounds of blueberries cost $1.\n5 pounds of blueberries cost $15.50.\n12 pounds of blueberries cost $33.\nthe point (3, 9) is on the graph of the proportional relationship.

2. the graph shows the cost c in dollars of w pounds of blueberries, a proportional relationship. select all the true statements.\n1 pound of blueberries costs $2.75.\n2.75 pounds of blueberries cost $1.\n5 pounds of blueberries cost $15.50.\n12 pounds of blueberries cost $33.\nthe point (3, 9) is on the graph of the proportional relationship.

Answer

Explanation:

Step1: Find the unit rate

Since the relationship is proportional and the point ((6,16.50)) is on the graph. The unit rate (k=\frac{C}{w}), so (k = \frac{16.50}{6}=2.75). This means the cost per - pound (unit rate) is (C = 2.75w).

Step2: Check each option

  • Option A: When (w = 1), (C=2.75\times1 = 2.75). So, 1 pound of blueberries costs ($2.75).
  • Option B: When (w = 2.75), (C=2.75\times2.75=7.5625\neq1).
  • Option C: When (w = 5), (C=2.75\times5 = 13.75\neq15.50).
  • Option D: When (w = 12), (C=2.75\times12=(2 + 0.75)\times12=2\times12+0.75\times12=24 + 9=33).
  • Option E: If (w = 3), (C=2.75\times3=8.25\neq9).

Answer:

A. 1 pound of blueberries costs ($2.75); D. 12 pounds of blueberries cost ($33)