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Please help asap!! I will give brainiest!

A carton of milk has spilled on a tile floor. The milk flow can be expressed with the function m(t) = 10t, where t represents time in minutes and m represents how far the milk is spreading. The flowing milk is creating a circular pattern on the tile. The area of the pattern can be expressed as A(m) = πm2.

Part A: Find the area of the circle of spilled milk as a function of time, or A[m(t)]. Show your work. (6 points)

Part B: How large is the area of spilled milk after 3 minutes? You may use 3.14 to approximate π in this problem. (4 points)

Respuesta :

A=π(10t)2=100πt2


B.

A=100×3.14×32=2826

For part A you know that m equals 10t so you just sub it in. So it is at first A(m)=π(10t)2 . Which you simplify to A(m)= π20t. You can simplify futher by multiplying by pi. Then part B you use the same equation but sub in a 3 for the t. So it would be A(m)=π20(3) which should equal out to 188.4