Use the image to answer the question.

A coordinate plane's x-axis ranges from 0 to 4 and its y-axis ranges from 0 to 12, both by 2-unit increments. A line is plotted passing through a marked point at left parenthesis 0 comma 5 right parenthesis.

Lina charges a one-time fee of $5, plus $10 per hour, for a dog-walking appointment. Does the current graph use a reasonable scale for this situation? Enter 1 for yes or 2 for no.

1 answer

To determine whether the graph uses a reasonable scale for Lina's dog-walking charges, we can analyze the values represented by the axes.

The graph's y-axis goes from 0 to 12. The cost structure for Lina's services includes a one-time fee of $5 and a charge of $10 per hour. Therefore, after one hour, the total charge would be $5 + $10(1) = $15, and it increases by $10 for each additional hour.

If we look at the y-axis, which ranges from $0 to $12, it does not encompass the total charges beyond 1 hour, which are already above that limit. Since even a 1-hour appointment exceeds the maximum value on the y-axis, the scale used is not reasonable to represent this situation.

Thus, the answer is 2 for no.