Alex owes $100. He gets a job as a bounty hunter that gives him $150 for every criminal he turns in. Write an equation that relates the number of criminals he has turned in, $ C $, to the number of dollars he has, $ D $. How many dollars will he have after he has turned in six criminals?

a) $ D = 100 - 150C $; After turning in six criminals, he will have -$500.

b) $ D = 100 + 150C $; After turning in six criminals, he will have $1,000.

c) $ D = 100 + 150C $; After turning in six criminals, he will have $1,900.

d) $ D = 100 - 150C $; After turning in six criminals, he will have -$900.

To write the equation D = 100 + 150C that relates the number of criminals turned in, C, to the number of dollars Alex has, D. After turning in 6 criminals, Alex will have $1000.

Explanation:

To write an equation that relates the number of criminals turned in, C, to the number of dollars Alex has, D, we can use the information given: Alex owes $100 and receives $150 for each criminal turned in. Since Alex starts with a debt of $100, we can start with the equation D = 100. Then, for each criminal turned in, he earns an additional $150, so we add 150C to the equation. Therefore, the equation that relates C and D is D = 100 + 150C.

To find out how many dollars Alex will have after turning in six criminals, we substitute C = 6 into the equation D = 100 + 150C. Plugging in C = 6, we get D = 100 + 150(6) = 100 + 900 = 1000. Therefore, after turning in six criminals, Alex will have $1000.