Jim bought some potted plants:

Question

Petunias cost $11 per pot and Begonias cost $15 per pot.

Jim bought 19 potted plants in all and spent a total of $225 on the plants.

Which would be a correct statement?
Jim bought 15 begonias.

Jim bought 4 petunias.
.

Jim bought 18 begonias.
.

Jim bought 15 petunias

Answer 1

Jim bought 15 petunias.

Answer 2

y=−2x−1

3x − y =−7
whats a graph to support this

Answer 3

To graph the system of equations y = -2x - 1 and 3x - y = -7, we can plot a few points to represent the lines and then connect them.

For the equation y = -2x - 1, we can choose some arbitrary x-values and calculate the corresponding y-values. Let's choose x = -2, -1, 0, 1, and 2:

For x = -2:
y = -2(-2) - 1 = 3
So one point is (-2, 3).

For x = -1:
y = -2(-1) - 1 = 1
So one point is (-1, 1).

For x = 0:
y = -2(0) - 1 = -1
So one point is (0, -1).

For x = 1:
y = -2(1) - 1 = -3
So one point is (1, -3).

For x = 2:
y = -2(2) - 1 = -5
So one point is (2, -5).

Now let's plot these points on a graph:



For the equation 3x - y = -7, we can rearrange it to solve for y:
-y = -3x - 7
y = 3x + 7

Similarly, we can choose some arbitrary x-values and calculate the corresponding y-values. Let's choose x = -2, -1, 0, 1, and 2:

For x = -2:
y = 3(-2) + 7 = 1
So one point is (-2, 1).

For x = -1:
y = 3(-1) + 7 = 4
So one point is (-1, 4).

For x = 0:
y = 3(0) + 7 = 7
So one point is (0, 7).

For x = 1:
y = 3(1) + 7 = 10
So one point is (1, 10).

For x = 2:
y = 3(2) + 7 = 13
So one point is (2, 13).

Let's plot these points on a graph:



By connecting the plotted points, we can see that the lines intersect at the point (-2, 3).

Therefore, the graph supports the system of equations y = -2x - 1 and 3x - y = -7.