Answer:
The answer to your question is f(x) = x + 4
Step-by-step explanation:
Data
A (-3, 1)
B (-2, 2)
C (-1, 3)
D (0, 4)
Process
1.- Find the slope
m = (y2 - y1) / (x2 - x1)
- Substitution
m = (2 - 1) / (-2 + 3)
Simplification
m = 1/1
Result
m = 1
2.- Find the equation of the line
y - y1 = m(x - x1)
Use point A (-3 , 1)
y - 1 = 1(x + 3)
Simplification
y - 1 = x + 3
Result
y =x + 3 + 1
y = x + 4
y = f(x) = x + 4
Answer:
First you divide 12 by 3 to get 4, and then you multiply 210 by 4 to get 840, which is answer C. This is because if it is 210 patients per 3 weeks, 3 goes into 12 weeks 4 times, so you need to multiply. I hope this helps!
Answer: k = $0.50
Step-by-step explanation:
The data that we have is:
Rocko paid: $12.50 for 25 tickets.
Louisa paid: $17.50 for 35 tickets.
Now, the question asks to find the constant of proportionality.
A proportional relation can be written as:
y = k*x
where k is the constant, and in this case, y is the price and x the number of tickets bought.
Then replacing with the values above, we have:
$12.50 = k*25
then:
k = $12.50/25 = $0.50
And the other data:
$17.50 = k*35
K = $17.50/35 = $0.50
So we have the same k in both cases, this means that the constant of proportionality is k = $0.50
Answer is B.
g(x) is f(x) translated 2 units left