Answer:
y= -1x-5
Step-by-step explanation:
Since we are given that the relationship between x and y
is linear. Therefore this means that the given equation takes the form of:
y = m x + b
where,
b is the y intercept of the equation
m is the slope of the equation
However we should take note that the slope m is directly
proportional to the coefficient of correlation. Since our coefficient of
correlation is negative, this only means that the value of y is decreasing with
increasing x, hence plot of y and x is descending with increasing x.
Furthermore, this also tells that for every 1 unit increase of x, there is a
0.75 units decrease of y.
Let the number be x. The other number is also x.
Given the first number is 24.6 and sum is -44.85
24.6 + x + x = -44.85
Combine like terms:
2x + 24.6 = -44.85
Add 24.6 on both sides:
2x = -44.85 - 24.6
Evaluate Right Hand Side:
2x = -69.45
Divide both sides by 2:
x =- 34.725
Answer: The two numbers are both -34.725.
The answer to the question is a direct variation. k=2
The solution of the given inequality is:
x ≤ 15.24
<h3>
How to solve the inequality?</h3>
We know that the maximum that she can spend on gasoline is the 12% of $400.
That is:
(12%/100%)*$400 = 0.12*$400 = $48
Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:
x*$3.15 ≤ $48
To solve the inequality, we need to divide both sides by $3.15
x ≤ $48/$3.15
x ≤ 15.24
So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).
If you want to learn more about inequalities:
brainly.com/question/18881247
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