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
Which function rule represents the data in the table below. Input (x) 1 2 3 4 5 Output (y) 9 15 21 27 33
19 answers
I think the answer is y=3+6x
tell me if im wrong
The right answer is d
@chicken nuggys right💃
Chicken nuggys is wrong the right answer is y= 4+5x
hey guys! the answer is actually 3+6x
Yes, you are correct. The function rule that represents the data in the table is y = 3 + 6x. Well done!
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
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.
is y=5x+4 the same thing as y=4+5x
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.
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
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
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
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
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.
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.
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
8 answers