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3 years ago

What is the constant of proportionality y=4.75x

Mathematics

1 answer:

Temka [501]3 years ago

4 0

Answer:

4.75

Step-by-step explanation:

The equation of y proportional to x is

y = kx ← k is the constant of proportionality

y = 4.75x ← is in this form

with k = 4.75

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Exercise 1:
exponential decay:
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A = 600
We look for b:
(480/600) * (100) = 80%
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y = 600 * (0.8) ^ ((1/3) * t)
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exponential decay:
y = 600 * (0.8) ^ ((1/3) * t)
Exercise 2:
linear:
The function is given by:
y = ax + b
Where,
a = -60 / 2 = -30
b = 400
Substituting we have:
y = -30 * x + 400
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y = -30 * 4 + 400
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linear:
y = -30 * x + 400
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We look for b:
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3 years ago

The faster you drive the less time it takes to reach your destination (a driver's speed is inversely proportional to the drive t

ziro4ka [17]

Answer:

The time the trip takes Kelly is approximately 34 minutes

Step-by-step explanation:

The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;

$Speed, \ S = \dfrac{Distance \ travelled \ 'd'}{Time \ taken \ 't'}$

The given parameters of the journey are;

The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes

The speed with which Mike travels = 60 miles an hour

The speed with which Kelly travels the same trip = 80 miles an hour

Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly

For Mike, we have;

S = d/t

∴ d = S × t

Where;

S = 60 miles per hour

t = 45 minutes = 0.75 hour

d = 60 miles/hour × 0.75 hour = 45 miles

The distance from point 'a' to point 'b' = d = 45 miles

Similarly, from S = d/t, we have for Kelly the time 't' given as follows;

t = d/S

Where;

S = 80 miles/hour

d = 45 miles

∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes

The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.

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3 years ago

Classwork/Homework:

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An object's dimensions are: length of 25cm, wight of 10cm, and height of 15cm. calculate the object's density if its mass is 3000g

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