natsumi paints walls for a living. she paints at a constant speed, and then she takes a constant amount of…

natsumi paints walls for a living. she paints at a constant speed, and then she takes a constant amount of time to clean up.\nthe table compares the total area natsumi paints (in square meters) and the time it takes natsumi to finish painting and cleaning up (in hours).\narea (square meters) time (hours)\n30 2\n45 2.75\n60 3.5\nhow long does it take natsumi to paint 1 square meter?\n____ hours\nshow calculator

natsumi paints walls for a living. she paints at a constant speed, and then she takes a constant amount of time to clean up.\nthe table compares the total area natsumi paints (in square meters) and the time it takes natsumi to finish painting and cleaning up (in hours).\narea (square meters) time (hours)\n30 2\n45 2.75\n60 3.5\nhow long does it take natsumi to paint 1 square meter?\n____ hours\nshow calculator

Answer

Explanation:

Step1: Find time difference for area change

First, calculate the change in time and area between two data points. Let's use the first two: Area change: $45 - 30 = 15$ square meters Time change: $2.75 - 2 = 0.75$ hours

Step2: Calculate time per square meter

Divide the time change by the area change to get time per 1 square meter. $\frac{0.75}{15} = 0.05$ Verify with another pair (60-45=15 sq m, 3.5-2.75=0.75 hrs): $\frac{0.75}{15}=0.05$, consistent.

Answer:

0.05 hours