Relating Components of Functions to Their Graphs
On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function curves up into the first quadrant. It goes through (0, 3), (0.5, 5), (1, 10), (1.5, 23), (2, 50).

The given graph represents the function f(x) = 2(5)x. How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0?

The graph will increase at a slower rate.
The graph will show a decreasing, rather than increasing, function.
The graph will show an initial value that is lower on the y-axis.
The graph will increase at a constant additive rate, rather than a multiplicative rate.

astronomers is your final answer! : )

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step-by-step explanation:

x = 23.78

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week