Answer:
A. No, because not all of the pairs represent the same ratio
Hey there!!
Let us take the price of cinnamon tea as ' x ' and spice tea as ' y '
Now, let us take it into equation
12x + 3y = 15 -------------- ( 1 )
14x + 12y = 45 --------------- ( 2 )
Let us multiply the first equation with 4
48x + 12y = 60 --------------- ( 1 )
14x + 12y = 45 --------------- ( 2 )
Now, subtract equation 2
48x + 12y = 60
-14x - 12y = -45
Now, we get,
34x = 15
x = 15 / 34
This is the cost for cinnamon tea = $ 15 / 34
Now, substitute this into one equation
Let us take this equation - 12x + 3y = 15
Now, substitute ' x '
12 ( 15 / 34 ) + 3y = 15
6 ( 15 / 17 ) + 3y = 15
90 / 17 + 3y = 15
3y = 15 - 90/17
3y = 165 / 17
y = ( 165/17 ) ( 1 / 3 )
y = $ 55/17
Cinnamon tea = $ 15/34
Spice tea = $ 55/17
Hope helps!
8y + 16
Used the distributive property to solve.,
The average rate of change of the function, over the given interval is 2.
This question is incomplete, the complete question is:
What is the average rate of change of f(x) = 2x+10, if this function interval are x = -3 to x = 0.
<h3>What is the average rate of change over the interval?</h3>
The average rate of change of f(x) over the interval [a,b] is expressed as;
Given that;
- f(x) = 2x + 10
- Interval: [ -3, 0 ], a = -3 and b = 0
We substitute our values into the expression above.
![\frac{f(b)-f(a)}{b-a}\\\\\frac{f(0)-f(-3)}{0-(-3)}\\\\\frac{[2(0)+10]-[2(-3)+10]}{0-(-3)}\\\\\frac{[10]-[-6+10]}{3}\\\\\frac{[10]-[4]}{3}=\frac{6}{3}=2](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%5C%5C%5C%5C%5Cfrac%7Bf%280%29-f%28-3%29%7D%7B0-%28-3%29%7D%5C%5C%5C%5C%5Cfrac%7B%5B2%280%29%2B10%5D-%5B2%28-3%29%2B10%5D%7D%7B0-%28-3%29%7D%5C%5C%5C%5C%5Cfrac%7B%5B10%5D-%5B-6%2B10%5D%7D%7B3%7D%5C%5C%5C%5C%5Cfrac%7B%5B10%5D-%5B4%5D%7D%7B3%7D%3D%5Cfrac%7B6%7D%7B3%7D%3D2)
Therefore, the average rate of change of the function, over the given interval is 2.
Learn more about average rate of change: brainly.com/question/23715190
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Answer:
3:2
Step-by-step explanation:
apples : oranges
12:8
divide each number by 4
3:2
