Question

4 a store sends boxes of flowerpots to a nursery. there are 192 flowerpots in every 32 boxes shipped. plot points on the graph to show how many flowerpots there are for shipments of 3, 6, 12, 18, and 24 boxes. label each point with its ordered pair.

Explanation:

Step 1: Find the number of flowerpots per box

We know that there are 192 flowerpots in 32 boxes. To find the number of flowerpots per box, we divide the total number of flowerpots by the number of boxes. So, the number of flowerpots per box is $\frac{192}{32} = 6$. This means each box contains 6 flowerpots.

Step 2: Calculate flowerpots for 3 boxes

For 3 boxes, we multiply the number of boxes (3) by the number of flowerpots per box (6). So, the number of flowerpots is $3\times6 = 18$. The ordered pair is (3, 18).

Step 3: Calculate flowerpots for 6 boxes

For 6 boxes, we multiply 6 by 6. So, $6\times6 = 36$. The ordered pair is (6, 36).

Step 4: Calculate flowerpots for 12 boxes

For 12 boxes, we multiply 12 by 6. So, $12\times6 = 72$. The ordered pair is (12, 72).

Step 5: Calculate flowerpots for 18 boxes

For 18 boxes, we multiply 18 by 6. So, $18\times6 = 108$. The ordered pair is (18, 108).

Step 6: Calculate flowerpots for 24 boxes

For 24 boxes, we multiply 24 by 6. So, $24\times6 = 144$. The ordered pair is (24, 144).

Answer:

The ordered pairs are: (3, 18), (6, 36), (12, 72), (18, 108), (24, 144). To plot these points, on the graph with x - axis as the number of boxes and y - axis as the number of flowerpots, we plot the points (3, 18), (6, 36), (12, 72), (18, 108), and (24, 144).