Question

2. Use a graph to find the solution.

Answer 1

Answer: got answer from someone, 12 and 14 were wrong.

Step-by-step explanation:

connexus unit 8 lesson 1 PRACTICE!

1) B

2) C

3) A

4) C

5) B

6) A

7) D

8) A

9) D

10) A

11) A

12) not C

13) D

14) not C

15) B

Answer 2

Answer:

The correct option is 3. Capacity of smallest tank is 15-gallons.

Step-by-step explanation:

The graph shows the relationship between capacity of tank and combined length of fish it can hold.

The line passing through (0,1) and (1,2).

Slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-1}{1-0}=1$

Slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

The slope of the line is 1 and the y-intercept is 1, therefore the equation of line is

$y=x+1$                          ..... (1)

If we want four 2-inch platys, three 1-inch guppies and a 3-inch loach, then the combined length of fish is

$4\times 2+3\times 1+1\times 3=8+3+3=14$

Therefore the combined length of fish is 14.

Put x=14 in equation 1.

$y=14+1=15$

Therefore, the capacity of smallest tank is 15-gallons and option 3 is correct.