Explanation
Correct answer: B.
Choice B is correct. It's given that Rhett drove at an average speed of miles per hour and that he drove for hours. Multiplying miles per hour by hours yields miles, or the distance that Rhett drove. It's also given that Jessica drove at an average speed of miles per hour and that she drove for hours. Multiplying miles per hour by hours yields miles, or the distance that Jessica drove. The total distance, in miles, that Rhett and Jessica drove can be represented by the expression . It's given that the total distance they drove was under miles. Therefore, the inequality represents this situation.
Desmos solution:
Note: x is Rhett's hours at 35 mph, y is Jessica's hours at 40 mph, so the total distance under 220 miles is 35x+40y<220.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This inequality represents a situation in which the total distance Rhett and Jessica drove was over, rather than under, miles.
Choice C
Choice C is incorrect. This inequality represents a situation in which Rhett drove at an average speed of , rather than , miles per hour, Jessica drove at an average speed of , rather than , miles per hour, and the total distance they drove was over, rather than under, miles.
Choice D
Choice D is incorrect. This inequality represents a situation in which Rhett drove at an average speed of , rather than , miles per hour, and Jessica drove at an average speed of , rather than , miles per hour.