To find the function rule that represents the data in the table, we need to look for a pattern between the input and output values.
If we subtract the first output value (9) from the second output value (14), we get 5. Similarly, if we subtract the second output value (14) from the third output value (19), we get 5 again. This tells us that the output values are increasing by 5 for each increase in the input value.
Now we need to figure out the starting value (also known as the y-intercept) of the function. We can do this by looking at the table and noticing that when x=0 (which is not in the table), y=4. This means that the function starts at y=4.
Putting this all together, we get:
y = starting value + rate of change * input
y = 4 + 5x
Therefore, the function rule that represents the data in the table is y = 4 + 5x.
which function rule represents the data in the table below.
input (x) 1, 2, 3, 4, 5
output (y) 9, 14, 19, 24, 29
y = 4 + 5x
y = 3 + 6x
y = 5 + 4x
y = 6 + 3x
Show your work.
3 answers
input x 1 2 3 4 5
output y 9 12 15 18 21
y=4+5x
y= 3+6x
y=5+4x
y=6+3x
plz help i need the answer
output y 9 12 15 18 21
y=4+5x
y= 3+6x
y=5+4x
y=6+3x
plz help i need the answer
To find out which function rule represents the data in the table, we need to look for the relationship between the input and output values.
Based on the table, we can observe that as the input value increases by 1, the output value increases by 3. This tells us that the rate of change of the function is equal to 3.
Furthermore, when x = 0 (not shown in the table), the output value must be 6. This is because if the rate of change is 3 and we start at 6, the first output value when x = 1 must be 9 (6 + 3), which matches the table.
Substituting the rate of change (3) and the starting value (6) into the slope-intercept form of a linear function (y = mx + b) gives us:
y = 3x + 6
Therefore, the function rule that represents the data in the table is y = 3x + 6.
So, the correct answer is none of the provided options.
Based on the table, we can observe that as the input value increases by 1, the output value increases by 3. This tells us that the rate of change of the function is equal to 3.
Furthermore, when x = 0 (not shown in the table), the output value must be 6. This is because if the rate of change is 3 and we start at 6, the first output value when x = 1 must be 9 (6 + 3), which matches the table.
Substituting the rate of change (3) and the starting value (6) into the slope-intercept form of a linear function (y = mx + b) gives us:
y = 3x + 6
Therefore, the function rule that represents the data in the table is y = 3x + 6.
So, the correct answer is none of the provided options.