I think it’s the second one but I’m not 100%
Answer:
1. 4
2. y = 4x
Step-by-step explanation:
1.
Divide any y value by its corresponding x value to find the constant of proportionality.
8/2 = 4
Constant of proportionality: 4
2.
Equation of proportional relation:
y = kx, where k is the constant of proportionality.
y = 4x
Answer:
Bottom right graph is the correct answer
Answer:
Maria's book was 8 days late
Step-by-step explanation:
According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:
0.15x+2= 3.20
x= number of days that the book was late
Now, you have to solve for x:
0.15x= 3.20-2
0.15x= 1.20
x= 1.20/0.15
x= 8
The book was 8 days late.
Answer:
1125 m
Step-by-step explanation:
Given equation:

where:
- h = height (in metres)
- t = time (in seconds)
<u>Method 1</u>
Rewrite the equation in vertex form by completing the square:




The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.
<u>Method 2</u>
Differentiate the function:

Set it to zero and solve for t:



Input found value of t into the original function and solve for h:

Therefore, the maximum height is 1125 metres.