The table shows how much a carpenter charges for work. Is the relationship shown by the data in the table linear? Explain your answer.
I'm sorry, but it looks like the table you're referring to wasn't included in your message. To determine if the relationship illustrated by data in a table is linear, you would typically look for a constant rate of change between the independent variable (usually the first column, such as the hours worked) and the dependent variable (usually the second column, such as the amount charged).
Here's how you can check if the relationship is linear:
1. Identify the independent and dependent variables from the table.
2. Check if the differences in the dependent variable values are consistent for every unit increase in the independent variable. This means subtracting successive values of the dependent variable and comparing the results.
3. If the differences are the same (consistent), then the relationship is linear. The table would represent a function of the form y = mx + b, where m is the constant rate of change, and b is the starting value when the independent variable is zero.
If you provide the specific table or values, I can give a more precise answer.