Final answer:
To represent a 30% decrease in miles driven and a 25% increase in paper used, bar graphs can be utilized, showcasing the original amounts for last month at 100 units and adjusting the current month to 70 units for the decrease and 125 units for the increase.
Step-by-step explanation:
The student's question involves drawing a diagram to represent two different situations involving percentage changes. Specifically, one must show a 30% decrease in the number of miles driven this month compared to last month, while the other must show a 25% increase in the amount of paper used by a copy shop this month compared to last month.
Representation of a 30% Decrease
For the 30% decrease, we can assume that last month the student drove 100 units of distance (it could be miles, kilometers, etc.). A 30% decrease means they now drive 70 units this month (since 100 - 30% of 100 = 70). A bar graph could represent this with two bars; one labeled 'Last Month' at 100 units high, and the other labeled 'This Month' at 70 units high.
Representation of a 25% Increase
For the 25% increase in paper usage, again assume last month the shop used 100 units of paper. A 25% increase would imply 125 units used this month (100 + 25% of 100 = 125). The bar graph would show two bars; one labeled 'Last Month' at 100 units, and another labeled 'This Month' at 125 units.