For question 1 the answer is B.
for question 2 the answer is C.
Answer:
Constant of proportionality: 
Equation: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:
Then, the first step is to find the Constant of proportionality "k".
Knowing that:
We can substitute values into the equation:
Now, solving for "k", we get:
Therefore, we can write the following equation that represents that proportional relationship:
Answer:
m=3/4
Step-by-step explanation:
first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)
we have the equation 4x+3y=9
subtract 4x from both sides
3y=-4x+9
divide by 3
y=-4/3x+3
perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1
so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1
(m is the slope value)
-4/3m=-1
multiply by -3/4
m=3/4
therefore the slope of the perpendicular line is 3/4
hope this helps!! :)
Y-intercept: Let x = 0. Result: 5x=0, and x= 0. y-intercept is (0,0).
Similarly, x-int. is (0,0) (after going thru the same procedure: set y=0 and find x)
Multiply the second fraction by three.
4/9 + 3/9 = 7/9
