Final answer:
The correct inequality to represent the number of movie tickets Danny can buy is not listed among the options provided. The closest match, assuming a typo, is B) 8t-25≤65, which would apply if Danny already spent $25. In that case, the inequality should be 8t ≤ 40 after the $25 is subtracted from his original $65.
Step-by-step explanation:
The question asks which inequality represents the number of movie tickets that Danny can buy with $65 if each ticket costs $8. The correct inequality should factor in the cost of each ticket and the total amount Danny has to spend. We can set up the inequality with t representing the number of tickets and multiplying it by the price of each ticket, which is $8. The amount Danny has to spend is $65, so the inequality would take the form of 8t ≤ 65, where t must be a whole number since he cannot buy a fraction of a ticket.
Looking through the options provided:
- A) 8t+25≤65 is incorrect because it assumes an additional $25 that Danny has, which is not mentioned.
- B) 8t-25≤65 incorrectly suggests Danny spent $25, which we have no information about.
- C) -8t-25≤65 reflects a decrease in the number of tickets and an additional expense, which is not relevant.
- D) 28t+25≤65 suggests a ticket price of $28, which is incorrect.
None of the options provided perfectly match the needed inequality. However, the one that comes closest to the real situation is option B) 8t-25≤65 assuming there is a typo and Danny has spent $25 already. If this is the case, then after spending $25, Danny would have $40 left to spend on movie tickets ($65 - $25), and the inequality showing the number of movie tickets he can afford would be 8t ≤ 40.