Asked by Anonymous
Which function rule represents the data in the table below. Input (x) 1 2 3 4 5 Output (y) 9 15 21 27 33
Answers
Answered by
Reiny
Did you notice that for every unit change in x, the y increases by 6
so the slope is 6
must be y = 6x + b
use (1,9) to sub in
9 = 6(1) + b ---> b = 3
f(x) = 6x + 3
check my equation to see if you get the data in your table
so the slope is 6
must be y = 6x + b
use (1,9) to sub in
9 = 6(1) + b ---> b = 3
f(x) = 6x + 3
check my equation to see if you get the data in your table
Answered by
chicken nuggy
I think the answer is y=3+6x
Answered by
chicken nuggy
tell me if im wrong
Answered by
Elllo
The right answer is d
Answered by
shyann<3
@chicken nuggys right💃
Answered by
Finn
Chicken nuggys is wrong the right answer is y= 4+5x
Answered by
emmy shockley
hey guys! the answer is actually 3+6x
Answered by
Bot
Yes, you are correct. The function rule that represents the data in the table is y = 3 + 6x. Well done!
Answered by
emmy shockley
Which function rule represents the data in the table below.
Input (x) 1| 2| 3| 4| 5|
Output (y) 9 |14 |19 |24 |29|
1.y=4+5x
2.y=3+6x
3.y=5+4x
4.y=6+3x
Input (x) 1| 2| 3| 4| 5|
Output (y) 9 |14 |19 |24 |29|
1.y=4+5x
2.y=3+6x
3.y=5+4x
4.y=6+3x
Answered by
Bot
To determine the function rule that represents the given data, we can use the formula for the equation of a line, which is y = mx + b, where m is the slope of the line, and b is the y-intercept.
Looking at the table, we can see that for every increase in x by 1, y increases by 5. Therefore, the slope of the line is 5.
To find the y-intercept, we can take any point in the table, such as (1, 9), and substitute it into the equation and solve for b:
9 = 5(1) + b
b = 4
So the equation of the line that represents the given data is:
y = 5x + 4
Therefore, the answer is not among the given options.
Looking at the table, we can see that for every increase in x by 1, y increases by 5. Therefore, the slope of the line is 5.
To find the y-intercept, we can take any point in the table, such as (1, 9), and substitute it into the equation and solve for b:
9 = 5(1) + b
b = 4
So the equation of the line that represents the given data is:
y = 5x + 4
Therefore, the answer is not among the given options.
Answered by
emmy shockley
is y=5x+4 the same thing as y=4+5x
Answered by
Bot
Yes, you are correct. The equations y = 5x + 4 and y = 4 + 5x are equivalent. The order of the terms in the equation does not matter, and what is important is that the slope is 5, and the y-intercept is 4.
Answered by
Plus ultra
Hey, but which function rule represents the data in the table
X,-3,-2,-1,0,1
Y,-17,-14,-11,-8,-5
X,-3,-2,-1,0,1
Y,-17,-14,-11,-8,-5
Answered by
Bot
To determine the function rule that represents the given data, we can use the formula for the equation of a line, which is y = mx + b, where m is the slope of the line, and b is the y-intercept.
Looking at the table, we can see that for every increase in x by 1, y increases by 3. Therefore, the slope of the line is 3.
To find the y-intercept, we can take any point in the table, such as (0, -8), and substitute it into the equation and solve for b:
-8 = 3(0) + b
b = -8
So the equation of the line that represents the given data is:
y = 3x - 8
Looking at the table, we can see that for every increase in x by 1, y increases by 3. Therefore, the slope of the line is 3.
To find the y-intercept, we can take any point in the table, such as (0, -8), and substitute it into the equation and solve for b:
-8 = 3(0) + b
b = -8
So the equation of the line that represents the given data is:
y = 3x - 8
Answered by
Plus ultra
One more, which quadratic rule, represents the data in the table
X -1, 0, 1, 2, 3
Y 6, 5, 6, 9, 14
X -1, 0, 1, 2, 3
Y 6, 5, 6, 9, 14
Answered by
Bot
To determine the quadratic rule that represents the given data, we can use the formula for the quadratic equation, which is:
y = ax^2 + bx + c
where a, b, and c are constants. We can use the values from the table to form a system of equations in three variables:
6 = a(-1)^2 + b(-1) + c
5 = a(0)^2 + b(0) + c
6 = a(1)^2 + b(1) + c
9 = a(2)^2 + b(2) + c
14 = a(3)^2 + b(3) + c
which can be simplified to:
a - b + c = 6
c = 5
a + b + c = 6
4a + 2b + c = 9
9a + 3b + c = 14
From equation (2), we have c = 5. Substituting this into the other equations, we get:
a - b = 1
a + b = 1
4a + 2b = 4
9a + 3b = 9
Solving for a and b, we get:
a = 1
b = 0
Therefore, the quadratic rule that represents the given data is:
y = x^2 + 5
y = ax^2 + bx + c
where a, b, and c are constants. We can use the values from the table to form a system of equations in three variables:
6 = a(-1)^2 + b(-1) + c
5 = a(0)^2 + b(0) + c
6 = a(1)^2 + b(1) + c
9 = a(2)^2 + b(2) + c
14 = a(3)^2 + b(3) + c
which can be simplified to:
a - b + c = 6
c = 5
a + b + c = 6
4a + 2b + c = 9
9a + 3b + c = 14
From equation (2), we have c = 5. Substituting this into the other equations, we get:
a - b = 1
a + b = 1
4a + 2b = 4
9a + 3b = 9
Solving for a and b, we get:
a = 1
b = 0
Therefore, the quadratic rule that represents the given data is:
y = x^2 + 5
Answered by
Plus ultra
154 pound person burns 420 cal per hour riding an exercise bicycle at a rate of 15 mph. Write a function rule to represent the total calories burned overtime by that person. Explain how the information in the problem relates to the function.
Answered by
Bot
The function rule that represents the total calories burned overtime by the person can be written as:
C(t) = 420t
where C(t) represents the total calories burned after t hours of exercise at a constant rate of 15 mph.
In this function, the coefficient of t is 420, which represents the number of calories burned per hour. The person is riding an exercise bicycle at a fixed rate of 15 mph, which means that the time and distance traveled are directly proportional to each other, so the rate of calorie burn is consistent.
Therefore, the information in the problem is used to derive a linear equation that represents the total calories burned by a person during exercise over time, with the number of calories burned per hour being constant. This equation can be used to predict the total calories burned by the person for various durations of exercise.
C(t) = 420t
where C(t) represents the total calories burned after t hours of exercise at a constant rate of 15 mph.
In this function, the coefficient of t is 420, which represents the number of calories burned per hour. The person is riding an exercise bicycle at a fixed rate of 15 mph, which means that the time and distance traveled are directly proportional to each other, so the rate of calorie burn is consistent.
Therefore, the information in the problem is used to derive a linear equation that represents the total calories burned by a person during exercise over time, with the number of calories burned per hour being constant. This equation can be used to predict the total calories burned by the person for various durations of exercise.
Answered by
Kiter
Melody charges for 50 per hour and when she washes cars that’s five dollars for supplies which function rule represents the amount why Melodie charges to wash cars for x hours
Y equals 0.50x
Y equals 4.50x+5.00
Y equals 5.00X +4.50
Y equals 9.50 X
Y equals 0.50x
Y equals 4.50x+5.00
Y equals 5.00X +4.50
Y equals 9.50 X