Nathaniel filled up his car with gas before embarking on a road trip across the country. The car uses 2 gallons of gas for every hour driven and the capacity of the gas tank is 10 gallons. Write an equation for the function

G

(

t

)

,

G(t), representing the number of gallons of gas remaining in Nathaniel's gas tank after

t

t hours of driving.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.