Answer:
y = 32
Step-by-step explanation:
Given y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
To find k use the condition when x = 3, y = 4.5 , then
4.5 = k × 3² = 9k ( divide both sides by 9 )
0.5 = k
y = 0.5x² ← equation of proportion
When x = 8 , then
y = 0.5 × 8² = 0.5 × 64 = 32
Answer:
Hope this helps
Step-by-step explanation:
Page 1:
I'm not sure about the first page but here is what I think.
Increased by a value of 3.
Figure 0, is most likely 2 blocks.
Starting value = 2
Growth = 3
y= 3x + 2
Fill in the values to get y.
For example, 3(52) + 2
The rate of change is 3
The y - intercept is 2
The equation of the line is y= 3x + 2
Page 2:
I assuming that the y-intercept is -5 considering it is with 0.
Looking at 10 I see 25. What times 10, subtracted by 5 will get you 25?
3
So I assume that the equation is 3x - 5. Apply this equation to 6 and 0 to see if it is correct.
3(6) - 5 = 13. Now apply this to the other values to get the rest of the chart.
Not sure what the x means in the last input
Red Line
<em>Slope:</em> 3
<em>y-intercept:</em> 4
<em>Equation:</em><em> </em>y = 3x + 4
Blue Line
<em>Slope: </em> (-1/3)
<em>y-intercept: </em>-4
<em>Equation: </em>y = (-1/3) - 4
Answer:
1. 110 degrees.
2. 276 students.
Step-by-step explanation:
1. Converting the ratios to fractions:
3 + 4 + 11 = 18 so the largest angle is 11/18 of 180 degrees.
Answer is 180 * 11/ 18 = 110 degrees.
2. That would be 460 * 36 / 60
= 276 students.