Brian wants to purchase a car wash "package" from his local car wash. he can either get unlimited car washes for a month for $35 with no additional charges. or, he can buy a discount package, where he pays $22 for the month plus $1.50 per car wash. he wants to know how many car washes he would need to get in order to make the $35 deal a better choice.

y=22x+1.5 substitute 35 for x: y=22(35)+1.5; y=771.5, which means it would take 772
car washes for the plans to be worth the same amount.

y=1.5x+22 substitute 35 for y: 35=1.5x+22; y≈8.7, which means at 9 car washes, the unlimited package at $35
would be cheaper.

y=22x+1.5 substitute 35 for y: 35=22x+1.5; y≈1.5, which means at 2 car washes, the unlimited package at $35
would be cheaper.

y=1.5x+22 substitute 35 for x: y=1.5(35)+22; x=74.5, which means the discount package is cheaper unless brian gets 75 car washes.