Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope- formula
m =
with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table
m = =
=
= - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, - 3 ) , then
- 3 = - 6 + c ⇒ c = - 3 + 6 = 3
The y- intercept c = 3 → D
The amount of quarts of water to fill the jar is 10.6875 quarts
To solve this problem effectively, we need to understand the concept of word problems.
<h3>What are word problems in mathematics?</h3>Word problems in mathematics are questions that require a crucial understanding and application of mathematical principles to solve them effectively.
From the parameters given:
Then, the total amount of ounces that fills the water is:
= 114 ounces × 3
= 342 ounces
From the dimensional analysis of measurements:
1 ounce = 0.03125 quarts
Thus, in quarts, 342 ounces will be:
= 10.6875 quarts
Learn more about word problems in mathematics here: