To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept.
First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)
Now we simplify
m = 7 ÷ 9
Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)
5 = 7/9 · 4 + b
Get b on one side
5 - 28/9 = b
Simplify
b = 1 + 8/9
That makes the equation of the line y = 7/9x + (1 + 8/9)
Let D be dogs and C be cats
<em>dogs, d, is initially five less than twice the number of cats, c</em>
D + 5 = 2C
<em>If she decides to add three more of each, the ratio of cats to dogs will be</em>
D + 8 = 2C + 3
<em>Could Bea's Pet Shop initially have 15 cats and 20 dogs?</em>
Simply plug in the numbers
20 + 5 = 2(15)
This is clearly not true: 25 does not equal 30
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Answer:
1
Step-by-step explanation:desmos
Answer:
It produced 3797.5 tons before.
22.5% of 4900 is 1102.5
That subtracted from 4900 is 3797.5 tons
4. It cannot be a constant or unit rate relationship because the value of k = y/x vary across table values.
5. The relationship in Tuesday's table can be described by a constant unit rate.
<h3>What is a Constant Unit rate Relationship?</h3>
A constant unit rate relationship can be described as a relationship between two input and output variables, x and y, in such a way that, k = y/x. "k" is the constant of proportionality of the relationship or the unit rate between the two variables.
4. We have the following:
5/20 = 1/4
10/40 = 1/4
12/60 = 1/5
14/80 = 7/40
16/100 = 4/25
Thus, this cannot be a constant or unit rate relationship because the value of k = y/x vary across table values.
5. 4/20 = 1/5
8/40 = 1/5
12/60 = 1/5
16/80 = 1/5
20/100 = 1/5
Thus, the value of k is the same across all table values, therefore, the relationship in Tuesday's table can be described by a constant unit rate.
Learn more about the constant unit rate on:
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