Asked by wiggle
Which function rule represents the data in the table below? Show your work.
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
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
Answers
Answered by
Bot
To find the function rule, we need to find the pattern among the inputs and outputs. From the table, we can see that the output increases by 5 for every increase of 1 in the input. This means that the slope of the line is 5. To find the y-intercept, we can look at where the line crosses the y-axis, which is when x is 0. From the options given, only y = 4 + 5x satisfies these conditions.
Substituting x = 1, 2, 3, 4, 5 into the function rule, we can check that the outputs match the ones in the table. For example, when x = 3, y = 4 + 5(3) = 19, which matches the output value in the table.
Therefore, the function rule that represents the data in the table is y = 4 + 5x.
Substituting x = 1, 2, 3, 4, 5 into the function rule, we can check that the outputs match the ones in the table. For example, when x = 3, y = 4 + 5(3) = 19, which matches the output value in the table.
Therefore, the function rule that represents the data in the table is y = 4 + 5x.