in conclusion, natsumi paints 111 square meter in 0.050.050, point, 05 hours.
since natsumi paints at a constant speed, the table describes a linear relationship.
moreover, the rate of change of this relationship corresponds to the time it takes natsumi to paint 111 square meter.
hint #22 / 3
the table of values shows that for each increase of \blue {15}15start color blue, 15, end color blue square meters in \blue{\text{area}}areastart color blue, a, r, e, a, end color blue, \pink{\text{time}}timestart color pink, t, i, m, e, end color pink increases by \pink{0.75}0.75start color pink, 0, point, 75, end color pink hours. the time it takes natsumi to paint 111 square meter is the ratio of those corresponding differences:
\dfrac{\delta \pink{\text{time}}}{\delta \blue{\text{area}}}=\dfrac{\pink{0.75}}{\blue{15}}=\green{0.05}
δarea
δtime
=
15
0.75
=0.05start fraction, delta, start color pink, t, i, m, e, end color pink, divided by, delta, start color blue, a, r, e, a, end color blue, end fraction, equals, start fraction, start color pink, 0, point, 75, end color pink, divided by, start color blue, 15, end color blue, end fraction, equals, start color green, 0, point, 05, end color green
hint #33 / 3
in conclusion, natsumi paints 111 square meter in 0.050.050, point, 05 hours.