Question

Use the table to answer the question.

This table shows the values of the function f(x)=2x+1 for given values of x.
x
f(x)=2x+1

2 5
7 15
12 25
17 35
Dawn is trying to determine how the function y=2x+1
grows. Which statement best describes what Dawn can show using the table?

(1 point)
Responses

The table can be used to show that for x
-values over equal intervals of 2, the difference in the values of f(x)
for the function y=2x+1
is 3.
The table can be used to show that for x -values over equal intervals of 2, the difference in the values of f left parenthesis x right parenthesis for the function y equals 2 x plus 1 is 3.

The table can be used to show that for x
-values over equal intervals of 2, the difference in the values of f(x)
for the function y=2x+1
is 10.
The table can be used to show that for x -values over equal intervals of 2, the difference in the values of f left parenthesis x right parenthesis for the function y equals 2 x plus 1 is 10.

The table can be used to show that for x
-values over equal intervals of 5, the difference in the values of f(x)
for the function y=2x+1
is 10.
The table can be used to show that for x -values over equal intervals of 5, the difference in the values of f left parenthesis x right parenthesis for the function y equals 2 x plus 1 is 10.

The table can be used to show that for x
-values over equal intervals of 5, the difference in the values of f(x)
for the function y=2x+1
is 3.
The table can be used to show that for x -values over equal intervals of 5, the difference in the values of f left parenthesis x right parenthesis for the function y equals 2 x plus 1 is 3.
Remaining Attempts : 3

Answer 1

The table shows x increases by 5 each time (2→7→12→17) and f(x) increases by 10 each time (5→15→25→35). So for x-values over equal intervals of 5, the difference in f(x) is 10.