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2 years ago

Which of the following statement(s) describes the rate of change of f over the interval 1.5 ≤ x ≤ 3? Select all that apply.

Mathematics

1 answer:

Vesnalui [34]2 years ago

6 0

2 Answers: Choice B and Choice C

The rate of change is 2.

The rate of change is constant.

======================================================

Explanation:

The first point on the left is when x = 1.5 and it has a height of y = 1

The point (1.5, 1) is on the line.

So is the point (3,4) for similar reasoning.

Compute the slope between those points

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

m = (4-1)/(3-1.5)

m = 3/(1.5)

m = 2

The slope is 2, which is the same as saying the rate of change is 2. This only applies when x > 1 of which the interval 1.5 ≤ x ≤ 3 is a part of.

Since the slope stays at 2 on the interval 1.5 ≤ x ≤ 3, this means we consider the slope to be constant. If the curve bended at all on this interval, then it wouldn't be a constant slope.

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THE GRAPH IS BELOW THANKS :) Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day

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Answer:

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Using: $y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)$

On substituting the values in the formula above we will get the required equation of line.

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$\Rightarrow y-10=\frac{5}{-4}\cdot (x-6)$

On simplification we will get:

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(b) We need to tell at day 0 put x=0 in above equation:

$y=\frac{1}{4}(-5\cdot 0+70)$

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Now, we need to tell decrease per day which is equal to the slope of line

To find the slope compare the equation with general equation which is y=mx+c where m is slope

Here, in $y=\frac{1}{4}(-5x+70)$

$m=\frac{-5}{4}$ which is the decrease per day.

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Answer:

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Mariulka [41]

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Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5). Describe the ste

olga_2 [115]

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