Answer:
The correct answer is y ≥ 8
Step-by-step explanation:
In order to graph this, we must first solve the equation for y.
193 + y ≥ 201
y ≥ 8
Now that we have the solved version, we can graph on a number line. Draw a closed circle on the point 8 and then draw an arrow to the right to show that it is greater.
Answer:
<em>Yes, this is a linear function because the rate of change is constant</em>
Step-by-step explanation:
<u>Linear Functions</u>
We can recognize a linear relation between variables x and y when they can be represented by a formula like
y=mx+b
Where m is the rate of change and it has a constant value. More specifically, a proportional relationship is a special case where b=0, meaning that every value of y divided by the corresponding value of x, is constant.
The situation described in the question says a bathtub is being filled at a rate of 4 liters per minute. It means that every minute, 4 liters are constantly being added to the existing quantity. This is a constant rate of change, so the correct answer is
"Yes, this is a linear function because the rate of change is constant"
Answer:
Step-by-step explanation:
We are asked to find the equation of a line in slope-intercept form. We are given a point and a slope, so we can use the point-slope formula.
In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of the line is 8 and it passes through the point (1, -6). Therefore,
Substitute these values into the formula.
Remember that 2 back to back subtraction signs are the same as an addition sign.
The line must be in slope-intercept form or y=mx+b (m is the slope and b is the y-intercept. We must isolate the variable y on one side of the equation. First, distribute on the right side of the equation. Multiply each term inside the parentheses by 8.
6 is being added to y. The inverse operation of addition is subtraction, so we subtract 6 from both sides of the equation.
The equation of the line in slope-intercept form is <u>y=8x-14</u>. The slope is 8 and the y-intercept is -14.
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