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C. The city population increases by 1000 every year.

Step-by-step explanation:

A linear function of time means that over time, the city's population also changes and it is like a relationship between time and the growth. A and B only says that during that one year, it increased by 1000 so it is a temporary change and no growth was mentioned. C and shows that every year, there is a steady change (1000 per year) so it is a linear function. D's increase would be too drastic as the 10% increase would increase so it would not be a steady line so it is not a linear function.

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step-by-step explanation:

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5