The function t(n)=8n represents the number of tires t(n) that are needed for n trucks. how many tires are needed for 25 trucks?

a. 32 tires
b. 150 tires
c. 200 tires
d. 250 tires

tell whether the sequence is arithmetic. if it is, what is the common difference?

2, 7, 13, 20,

a. yes; 5
b. yes; 6
c. yes; 2
d. no

T(n) is a function that calculates how many tyres are required for n trucks. Taking n = 25, t(n) = 8(25) = 200 tyres. The answer is C.

An arithmetic sequence has a constant difference between consecutive terms. Taking successive differences:

7-2 = 5
13-7 = 6
20-13 = 7

The common difference is not constant, so the sequence is not arithmetic. Hence the answer is d.

I hope this helps you :)