Question

1. the graph shows the cost c in dollars of w pounds of blueberries, a proportional relationship. select all the true statements.

1 pound of blueberries costs $2.75.
2.75 pounds of blueberries cost $1.
5 pounds of blueberries cost $15.50.
12 pounds of blueberries cost $33.
the point (3, 9) is on the graph of the proportional relationship.

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 \(w = 2.75\), \(C=2.75\times2.75=7.5625
eq1\).

• Option C:

When \(w = 5\), \(C=2.75\times5 = 13.75
eq15.50\).

• Option D:

When \(w = 12\), \(C=2.75\times12=(2 + 0.75)\times12=2\times12+0.75\times12=24 + 9=33\).

• Option E:

If \(w = 3\), \(C=2.75\times3=8.25
eq9\).

Answer:

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