Need help asap any help would be much appreciated!
1. The first five terms of an arithmetic sequence are 4, 10, 16, 22, and 28. Which function f(x) could be used to describe the xth term of the sequence?
A f(x)=−6x+4
B f(x)=−6x−2
C f(x)=6x+4
D f(x)=6x−2
2. The graph of the function h(x) passes through the points (−1,12) and (3,7). Which equation could be used to describe this function?
A h(x)=−54x+434
B h(x)=52x+292
C h(x)=−52x+192
D h(x)=54x+534
3. Which equation could be used to describe the function represented by the data shown in the table below?
x f(x)
−5 −29
−1 −17
2 −8
7 7
9 13
A f(x)=−3x−20
B f(x)=9x+8
C f(x)=6x−35
D f(x)=3x−14
4. A freight train departs from one train station to its destination at a constant speed. Suppose the distance the train is from the station in miles is represented as a function of the number of hours after the train departed from the train station. If the graph of the function passes through the points (0.5,135) and (2,81), what is the distance between the train station and the freight train's destination?
A 189 miles
B 162 miles
C 171 miles
D 153 miles
5. The nth term of the sequence −5, 1, 7, 13, 19,... could be represented by the function f(n), while the nth term of the sequence 3, 8, 13, 18, 23,... could be represented by the function g(n). Explain which function has a greater slope.
A The function g(n) has a greater slope because the first term of the sequence represented by g(n) is greater than the first term of the sequence represented by f(n).
B The function f(n) has a greater slope because the first term of the sequence represented by f(n) is greater than the first term of the sequence represented by g(n).
C The function f(n) has a greater slope because the difference between each term in the sequence represented by f(n) is greater than the difference between each term in the sequence represented by g(n).
D The function g(n) has a greater slope because the difference between each term in the sequence represented by g(n) is greater than the difference between each term in the sequence represented by f(n).