Question

8 from unit 3, lesson 5 here is a graph of the equation 3x - 2y = 12. select all coordinate - pairs that represent a solution to the equation. a (2, - 3) b. (4,0) c. (5, - 1) d. (0, - 6) e (2,3) 9 from unit 2, lesson 5 jada bought some sugar and strawberries to make strawberry jam. sugar costs $1.80 per pound, and strawberries cost $2.50 per pound. jada spent a total of $19.40. which point on the coordinate plane could represent the pounds of sugar and strawberries that jada used to make jam? a point a b. point b c. point c d. point d

Explanation:

8.

Step1: Rearrange the equation

Given $3x - 2y=12$, we can rewrite it as $y=\frac{3}{2}x - 6$.

Step2: Check option A

For the point $(2,-3)$, substitute $x = 2$ into $y=\frac{3}{2}x - 6$. Then $y=\frac{3}{2}\times2-6=3 - 6=-3$. So $(2,-3)$ is a solution.

Step3: Check option B

For the point $(4,0)$, substitute $x = 4$ into $y=\frac{3}{2}x - 6$. Then $y=\frac{3}{2}\times4-6=6 - 6=0$. So $(4,0)$ is a solution.

Step4: Check option C

For the point $(5,-1)$, substitute $x = 5$ into $y=\frac{3}{2}x - 6$. Then $y=\frac{3}{2}\times5-6=\frac{15}{2}-6=\frac{15 - 12}{2}=\frac{3}{2}
eq-1$. So $(5,-1)$ is not a solution.

Step5: Check option D

For the point $(0,-6)$, substitute $x = 0$ into $y=\frac{3}{2}x - 6$. Then $y=\frac{3}{2}\times0-6=-6$. So $(0,-6)$ is a solution.

Step6: Check option E

For the point $(2,3)$, substitute $x = 2$ into $y=\frac{3}{2}x - 6$. Then $y=\frac{3}{2}\times2-6=3 - 6=-3
eq3$. So $(2,3)$ is not a solution.

Step1: Check option A

If we assume the coordinates of point A are $(0,0)$, substituting into $1.8x + 2.5y=1.8\times0+2.5\times0 = 0
eq19.4$. So point A is not a solution.

Step2: Check option B

We need to know the coordinates of point B. Let's assume the coordinates are $(x_1,y_1)$. Substitute into $1.8x+2.5y$. If $1.8x_1 + 2.5y_1=19.4$, then it is a solution. Without the exact coordinates, we can't calculate precisely here.

Step3: Check option C

We need to know the coordinates of point C. Let's assume the coordinates are $(x_2,y_2)$. Substitute into $1.8x + 2.5y$. If $1.8x_2+2.5y_2 = 19.4$, then it is a solution. Without the exact coordinates, we can't calculate precisely here.

Step4: Check option D

We need to know the coordinates of point D. Let's assume the coordinates are $(x_3,y_3)$. Substitute into $1.8x+2.5y$. If $1.8x_3 + 2.5y_3=19.4$, then it is a solution. Without the exact coordinates, we can't calculate precisely here.
Assuming we have the coordinates of the points and calculate:

Answer:

A. $(2,-3)$, B. $(4,0)$, D. $(0,-6)$

9.

Let $x$ be the pounds of sugar and $y$ be the pounds of strawberries. The equation based on the cost is $1.8x + 2.5y=19.4$.