Write exponential function that goes through (0, 19) and (6, 1216)

f(x)=19(2)^x

Standard form of exponential graph is f(x) = ab^x

Plugging in (0, 19), you get

19 = ab^0 -> 19 = a(1)

a=19

f(x)=19b^x

1216 = 19(b)^6

64=b^6

b=2

-> f(x) = 19(2)^x

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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