An exponential function f(x)=ab^x passes through points (0,5) and (3,1715). What are values of a and b?

Step-by-step explanation:

f(x) = abx

Use the 2 given points to find a and b.

(0,3):

3 = ab0 ⇒ a = 3

(2,27):

27 = 3b2 ⇒ 9 = b2 ⇒ b= 3

f(x) = 3(3x)

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.