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Fiesta28 [93]
2 years ago
6

“Write five sentences about proportional relationships”

Mathematics
2 answers:
Readme [11.4K]2 years ago
8 0

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

ivolga24 [154]2 years ago
7 0

Answer:

Now, we’re going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we’ll pay.

Step-by-step explanation:

hope this helps

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a botanist is monitoring the growth of a young tree and notices it is growing linearly. In fact, she realizes it is growing 3 in
klasskru [66]

Answer:

1) The equation in point and slope form is y - 56 = 3·(x - 17)

2) The above equation in slope and intercept form is y =  3·x + 5

3)  The height of the sidling when the botanist received it = 5 inches

4) The height of the tree on week 30 = 7 feet 11 inches

Step-by-step explanation:

The given parameters for the equation are;

The rate of growth of the young tree = 3 inches/week

The current height of the tree = 4 feet  8 inches = 56 inches

The current time since start of growth (time duration of growth) = 17 weeks

With the given information, we have;

The height of the tree, y = The dependent or y-variable

The time for the growth, x = The independent or x-variable

The slope = the rate of growth = 3 inches/week

At week, x = 17, y = 56 inches

1) The information presented in point and slope form is given as follows;

y - 56 = 3·(x - 17)

2) Simplifying the above equation to slope and intercept form, y = mx + c

Where;

m = The slope

c = The y-intercept

We have;

y = 3·x - 51 + 56 = 3·x + 5

y =  3·x + 5

Therefore the y-intercept = 5

3) The y-intercept = 5  which gives the value of the height of the tree at time x = 0 as follows;

At x = 0 when the tree was first received, the height of the tree, y = 3·x + 5 = 5 inches

4) On week 30, the height, y of the tree will be, y = 3 × 30 + 5 = 95 inches = 7 feet 11 inches.

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3 years ago
a runner whose initial speed is 1.5m/s increases her speed to 2.4m/s in order to win a race. if the runner takes 4.4s to complet
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The runner's acceleration would be about .2m/s
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Divide both sides by 5
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Answer:

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Step-by-step explanation:

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Answer: X=2

Step-by-step explanation:

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