9514 1404 393
Answer:
A. $4006
Step-by-step explanation:
The total tax due is the sum of the amounts due in each applicable bracket.
$970 +3,036 = $4,006
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<em>Additional comment</em>
There are easier ways to compute the tax, but this is the way shown on many tax forms.
Let's identify what we are looking for in terms of variables. Sandwiches are s and coffee is c. Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c. Those all put together on one bill comes to 26. So Casey's equation for his purchases is 3s + 5c = 26. Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23. Eric's equation for his purchases then is 4s + 2c = 23. In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's. The coefficients on the s terms are 4 and 3. 4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out. 4[3s + 5c = 26] means that 12s + 20c = 104. Multiplying the second bolded equation by -3: -3[4s + 2c = 23] means that -12s - 6c = -69. The s terms cancel because 12s - 12s = 0s. We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for. 20c = 104 and -6c = -69. Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35. That means that c = 2.5 and a cup of coffee is $2.50. There you go!
Just look at 1 on the x-axis and go all the way up till you reach the line, then go all the way to the left and see what number that is on the y-axis.
When you do this you find that it's 2 on the y-axis.
So when x = 1, y = 2.
Answer:
x=21-5x4
x=21-20
x=1
Step-by-step explanation:
