Roberto is paid $11 an hour at his new job. He wishes to graph his total pay T, as a function of the number of hours, h. Roberto works between 10 and 40 hours each week.

Question

Select from the drop-down menus to correctly complete each statement.

To best show this information, the scale for the T-axis of his graph should go from 0 to at least
Choose...
, and the h-axis of his graph should go from 0 to at least
Choose...
.

Answer 1

To find the total pay \( T \) depending on the number of hours \( h \) that Roberto works, we can use the formula:

\[ T = 11h \]

Given that Roberto works between 10 and 40 hours each week, we can calculate the total pay for these hours:

For 10 hours: \[ T = 11 \times 10 = 110 \]

For 40 hours: \[ T = 11 \times 40 = 440 \]

Thus, the scale for the \( T \)-axis should go from 0 to at least 440.

For the \( h \)-axis, since Roberto works between 10 and 40 hours, it should go from 0 to at least 40.

Based on this information, you would select:

To best show this information, the scale for the T-axis of his graph should go from 0 to at least 440, and the h-axis of his graph should go from 0 to at least 40.