3 years ago

What is the rate of change between (29,9) and (33,10)?

Mathematics

1 answer:

Tema [17]3 years ago

6 0

Answer:

$\frac{1}{4}$

Step-by-step explanation:

The rate of change is a measure of the slope

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (29, 9) and (x₂, y₂ ) = (33, 10)

m = $\frac{10-9}{33-29}$ = $\frac{1}{4}$ ← rate of change

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The sum of three integers is 92. The second number is three times the first number. The third number is ten less than twice the

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Given,
The sum of three integers is 92

So,
Let,
The first integer be "x"
The second integer be "y"
The third integer be "z"

Now,
According to the question,
y = 3x ..............equation (1)
z = 2x - 10 .............. equation (2)
x + y + z = 92 ..............equation (3)

Now,
Substituting the value of "y" and "z" from equation (1) and (2), we get,

x + (3x) + (2x - 10) = 92
x + 3x + 2x - 10 = 92
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6x = 92 + 10
x = 102 / 6
x = 17

Now,
substituting the value of "x" in equation (1)
y = 3 (17)
y = 51

Now,
Substituting the value of "x" in equation (2),

z = 2 (17 ) - 10
z = 34 - 10
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So, the numbers are 17, 51 and 24

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