The graph below shows the relationship between two variables.

Which scenario is BEST represented by the graph?

David drove at a constant speed before slowing down in a school zone. He then increased the speed of his car.

The number of perfect test scores by students in a math class increased from the first to the second grading period and then began to decline.

After a period of slow growth, the height of a plant remained the same for 2 weeks. It was then fertilized and began to rapidly increase in height.

The number of employees at a store increased at a constant rate for 5 years. There was a decrease in the number of employees for 2 years. Then the number of employees increased at a greater constant rate for the next few years.

The graph adequately represents the following case

"The number of employees at a store increased at a constant rate for 5 years. There was a decrease in the number of employees for 2 years. Then the number of employees increased at a greater constant rate for the next few years."

Step-by-step explanation:

To solve the above-mentioned problems we need to filter the results through analysing the options given-

We have to keep in mind that-

Now going through the options-

option 1:-

David drove at a constant speed initially- throughout the graph no horizontal line is present, hence this condition does not represent the graph.

option 2:-

test scores increased and then decline- In this condition only two phases are mentioned, whereas in the graph three different phases are present. Hence this condition too does not represent the graph.

option 3:-

After the period of slow.- The graph starts with an upswing. hence this condition too does not represent the graph.

option 4:-

Employees increased and then declined and then again increased. All the above condition corroborates to the above-mentioned graph. hence this condition is represented in the graph

he earned 78.75 in interest.

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