Question

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.

Answer 1

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.

Step-by-step 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.