Watch Out For That Sales Tax: Daily DSAT in Under 3 Minutes

I continue my odyssey to do every question in Collegeboard's question bank. We're doing Bluebook Test 1 Math Module 2B Question 10.
The SAT Question ID: 03503d49
FYI the makers of the test categorize this as a "Linear inequalities in one or two variables" question, hard level.
You can see the whole catalog of questions in this series here: docs.google.co...
And of course you can watch the playlist this video is in.
You can see my latest bite-sized video here: • What’s The Equation Fo...
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[@fortnitesweatkid]

how do you know that 171.84 is with tax? you aren't multiplying or dividing anything with the 7% sales tax. I don't understand.

[@OutlierLearning2024]

Good Question! That's me imagining what it would be like before accounting for the 7% sales tax, but I have to account for it by dividing by 1.07. So it's like what the price at 161.53 becomes after the 7% is added on.
let me know if you have more questions

[@ababa9668]

so confused
after applying the sales tax, the price went down?

[@OutlierLearning2024]

The price you could pay goes down because you have to add the sales tax and you have a limit on amount you can pay. Does that make sense?