Answer:
Step-by-step explanation:
We want to study the function represented with the given graph.
We will find that the constant of proportionality is r = $12.5
And the equation is:
c = $12.5*p
First, let's define a general proportional relationship.
It is written as:
c = r*p
Where r is the constant of proportionality.
a) Here we just want to get the value of the constant of proportionality, to do this, we just need to find a point on the graph.
By looking at the graph, we can see that 6 pizzas cost $75, then we can replace that in the proportional relationship to get:
$75 = r*6
$75/6 = r = $12.5
Then the proportional relationship is:
c = $12.5*p
If you want to learn more, you can read:
brainly.com/question/3314314
Answer:

Step-by-step explanation:
The trigonometric identity is :

We need to express secθ in terms of tanθ.
The above equation becomes,

Hence, this is the required solution.
Answer:
X = -7 and y = -7.5
Step-by-step explanation:
Use substitution. Let’s try to get x by itself in the second question since it seems easier.
-4x + 4y = -2
-4x = -2 -4y
x = 1/2 + y
Subsitute that into the other equation for y.
4x -2y = -13
4(1/2 + y) - 2y = -13
2 + 4y -2y = -13 # Use the distributive property
2y = -15 # put together like terms
y = -7.5
Then plug it into the x formula
x = .5 -7.5
x = -7
The answer is 41.
Let the number of guest be x.
$15 per guest is: 15x
There is addition of $60 because of the mistake: +60
The final bill was 675:
675 = 15x + 60
675 - 60 = 15x
615 = 15x
x = 615 / 15
x = 41