The equation of a function is y= 4x+3. A second function contains the table of values below.
Which is true about the
X Y two functions?
-1 1
1 5
3 9
5 13
To determine which statement is true about the two functions, we need to compare the values in the table to the equation of the first function.
The equation of the first function is y = 4x + 3.
Now, let's compare the values in the table to the equation.
For the first row in the table (-1, 1):
Plugging x = -1 into the equation, we have:
y = 4(-1) + 3 = -4 + 3 = -1.
The y-value (-1) in the table matches the output of the equation.
For the second row in the table (1, 5):
Plugging x = 1 into the equation, we have:
y = 4(1) + 3 = 4 + 3 = 7.
The y-value (5) in the table does not match the output of the equation.
For the third row in the table (3, 9):
Plugging x = 3 into the equation, we have:
y = 4(3) + 3 = 12 + 3 = 15.
The y-value (9) in the table does not match the output of the equation.
For the fourth row in the table (5, 13):
Plugging x = 5 into the equation, we have:
y = 4(5) + 3 = 20 + 3 = 23.
The y-value (13) in the table does not match the output of the equation.
Based on the comparison, we can conclude that only the first row (-1, 1) matches the outputs of the equation y = 4x + 3. Therefore, the correct statement about the two functions is that they have one point in common.
second function, the one in the table,
when x goes up 2, y goes up 4 always
so
y = (4/2) x + b = 2x+b
when x = 1, y = 5
so
5 = 2(1) + b
b = 3
so
y = 2 x + 3
both of your functions are straight lines that go through (0,3)
the original one has slope = 4
the second one has half that slope