Answer:
f(4) = 3
x = -1
Step-by-step explanation:
Line graphed shows a linear function.
Since this line passes through two points (4, 3) and (-1, 4)
Let the function is,
f(x) = mx + b
where 'm' = slope of the line
b = y-intercept of the line
Slope 'm' = 
= 
= 
f(x) = 
Since a point (4, 3) lies on the line,
f(4) = 
3 = 
b = 3 + 0.8
b = 3.8
Therefore, f(x) = -0.2x + 3.8
For x = 4
f(4) = -0.2(4) + 3.8
= -0.8 + 3.8
= 3.0
For f(x) = 4
4 = -0.2x + 3.8
0.2x = 3.8 - 4
x = 
x = -1
The answer is (1,5) and (4,20) they make both of the equations true
Answer: 1000 hot dogs and and 1600 sodas were sold.
Step-by-step explanation:
Let x be the number of hot dogs and y be the number of sodas.
Given : The concession stand at an ice hockey rink had receipts of $6200 from selling a total of 2600 sodas and hot dogs.
Each soda sold for $2 and each hot dog sold for $3 .
Then, we have the following system of two linear equations:-

Multiplying 2 on both sides of (1), we get

Now, Eliminate equation (3) from equation (2), we get

Put x=1000 in (1), we get

Hence, 1000 hot dogs and and 1600 sodas were sold.
A. 400, 500
The question mentions you make a profit, which is to make more money than what you spent or put in. All other choices would make the statement say you ended up having less money, which is money lost, not profit.