Question

write an inequality to represent each situation. Do not solve the inequality. define the variable 3. Leslie is driving 850 miles home from vacation. She drives a constant speed of 65 miles per hour. She wants to stopfor the night when she is no more than 300 miles from home. How many hours will she need to drive?4. Steve earns $16 per hour plus $150 in bonuses. Carly earns $14 per hour and $200 in bonuses. After how many hourswill Steve's pay be more than Carly's?5. The science club is going on a field trip to the science museum. The club has at most $800 to spend on the trip. Thebus for the trip costs $100, and meals at the museum cost $4.50 per student. If admission to the museum is $12 perstudent and $16 per adult, and there are six chaperones attending, how many students can go on the trip?

Answer 1

According to the problem, Leslie will need to drive 850. As she is driving at a constant speed of 65 miles per hour, if you take h as the number of hours she drives, the distance she covers in h hours is 65h. She wants to stop when she is not more than 300 miles from home, which means that she wants to stop when the difference between 850 and 65h is less than or equal to 300.

This expressed as an inequality is:

$850-65h\leq300$