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3 years ago

How is rate of change related to slope

2 answers:

6 0

They're pretty much the same thing but when you hear the word rate of change, your thinking of it more in the context of a word problem and interpreting what it means. So labels are pretty much the key difference.

So like slope is here is a random coordinate plane, here's random points or just tell me what the slope is whereas rate of change is like it's number of meters per minute or its number of miles per hour so rate of change means you're comparing two quantities but you have units or labels attached to it.

You're calculating it in the same way but when we say rate of change we're really being asked in the context what does it mean.

garri49 [273]3 years ago

4 0

The rate of change on a graph is the slope

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3 years ago

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1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$

Which can be rewritten as a mixed fraction as:

$\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}$

Here we want to find the result of the following product:

$4\frac{2}{3}\cdot 3\frac{3}{4}$

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

$4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}$

For the 2nd fraction:

$3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}$

Now we can finally find the product of the two fractions:

$\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}$

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

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3 years ago

Which table of ordered pairs represents a linear function? x y −6 26 0 3 6 26 12 101 x y −6 −3 0 3 6 1 12 2 x y −6 −3 0 3 6 9 6

Afina-wow [57]

In each table, the x-values differ by 6. A linear function will also have a constant difference of y-values. Only the 4th table has that.

(x, y) = (-6, -3), (0, 2), (6, 7), (12, 12)

_____

An increase in x by 6 produces an increase in y by 5. The slope of this linear function is 5/6. In slope-intercept form, the equation is y = (5/6)x + 2.

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3 years ago

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