Question

Sophie used the equation y = x + 1 to represent that the length of a piece of fabric needed for a craft project (y) is always 1 inch greater than the length of the object made with the fabric (x). Which graph represents four solutions to Sophie's equation?

Answer 1

Answer: Last graph, the one with the points (1, 2), (2, 3), (3, 4), and (4, 5)

Explanation:

We have the equation y = x + 1

Now we can replace x by different values to get pairs (x, y).

if x = 1, we have:

y = 1 + 1 = 2

then we have the pair (1, 2)

if we have x = 2, then:

y = 2 + 1 = 3

Then we have the pair (2, 3)

So we need to find the graph that has these points.

The only graph that has the points (1, 2) and (2, 3) is the last graph.