A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter plot below. Distance (miles)

YA
450
400
350
300
250
200
L
150
100
50
0
0 1 2 3 4 5 6 7 8 9
Time (hours)
Based on the scatter plot, the family travels miles in the first 3.5 hours.
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Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3