Question

The table and graph show that there are 32 ounces in a quart.

Conversion between Quarts and Ounces
Ounces
(x)
Quarts
(y)
8
0.25
16
0.5
32
1
40
1.25


On a coordinate plane, the x-axis is labeled Ounces and the y-axis is labeled quarts. The line goes through points (8, 0.25) and (16, 0.5).
Which statement about the graph is true?
The number of quarts is the independent variable, and the number of ounces is the dependent variable.
The point (56, 1.75) is on the line.
The number of ounces is graphed on the y-axis, and the number of quarts is graphed on the x-axis.
The two variables are the number of quarts and the number of ounces in a quart.

Answer 1

b

Explanation:

hope it helps

Answer 2

The point (56, 1.75) is on the line.

Explanation:

Given two points, we can get the slope (m) as follows:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the points. Replacing with (8, 0.25) and (16, 0.5):

m = (0.5 - 0.25)/(16 - 8) = 0.03125

The point-slope form of a line is:

y - y1 = m(x - x1)

Replacing with data:

y - 0.25 = 0.03125(x - 8)

To know if point (56, 1.75) is on the line, we have to replace x = 56 in the obtained equation and check y-value, as follows:

y - 0.25 = 0.03125(56 - 8)

y - 0.25 = 1.5

y = 1.5 + 0.25 = 1.75

Then, the point is on the line. This means that there are 56 ounces in 1.75 quarts.