Brian wants to purchase a car wash package from his local car wash. Package A is an unlimited number of car washes for a month, and it costs $35 with no additional charges. Package B is $22 for the month plus $1.50 per car wash. Brian wants to know how many car washes he would need to get in a month to make Package A the better deal.
Which equation and calculation would help him make this decision?
y=22x+1.5
Substitute 35 for y: 35=22x+1.5
x≈1.5, which means at 2 car washes, Package A at $35 would be cheaper.
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
x≈8.7, which means at 9 car washes, Package A at $35 would be cheaper.
y=1.5x+22
Substitute 35 for x: y=1.5(35)+22
y=74.5, which means Package B is cheaper unless Brian gets at least 75 car washes.
The answer is 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.
answer is:
y=1.5x+22
Substitute 35 for x: y=1.5(35)+22
y=74.5, which means Package B is cheaper unless Brian gets at least 75 car washes.
why: i did the test lol dw
The equation and calculation that would help Brian make this decision is:
y = 22x + 1.5
In this equation, y represents the total cost of Package B, x represents the number of car washes in a month, 22 represents the fixed cost of Package B, and 1.5 represents the cost per car wash.
To determine how many car washes Brian would need in a month to make Package A the better deal, we substitute 35 for y in the equation:
35 = 22x + 1.5
Next, we solve for x:
22x = 35 - 1.5
22x = 33.5
x ≈ 1.5
This means that at approximately 2 car washes in a month, Package A at $35 would be cheaper than Package B. Thus, Brian would need to get at least 2 car washes to make Package A the better deal.
On the other hand, if Brian wants to know how many car washes he would need to get in a month for both packages to be worth the same amount, we can substitute 35 for x in the equation:
y = 22(35) + 1.5
Simplifying the equation, we get:
y = 771.5
This means that it would take 772 car washes for both packages (A and B) to be worth the same amount.
Therefore, the correct equation and calculation to help Brian make the decision are:
y = 22x + 1.5
Substitute 35 for y: 35 = 22x + 1.5
x ≈ 1.5, which means at 2 car washes, Package A at $35 would be cheaper.
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.
All those choices have a lot of noise, but you can easily try them all to see which one works. I'd just do
35 < 22 + 1.50x
12 < 1.50x
8 < x
so x must be at least 9
It should be easy to check which choice implements this solution