Question

The graph below shows the costs of sweets

bought in boxes and bags.
Joseph is buying some sweets in a box.
What mass of sweets would cost the same
amount if he bought them in a bag instead?
Give your answer in grams (g).
Cost against mass of sweets
200-
150-
100-
50-
(d) 150)
0
100 200 300 400
Mass (g)
Key
Box
Bag

Thanks.

Answer 1

recall, solution to a system of equations is where both graphs meet, at that point, the units are equal. Check the picture below.

Answer 2

The graph, the mass of sweets that would cost the same if Joseph bought them in a bag instead of a box is 160 grams.

To find this mass, we need to find the point where the cost curves for boxes and bags intersect. This point is located at (160, 260), which means that 150 grams of sweets cost the same in a box as in a bag.

Here is a step-by-step explanation:

Identify the point where the cost curves intersect. This point is located at (160, 260).

Read the mass value corresponding to the point of intersection. This value is 160 grams.

Therefore, 160 grams of sweets would cost the same if Joseph bought them in a bag instead of a box.