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2 answers:
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Answer:
1 hot dog costs $0.75
1 bratwurst costs $1.35
Step-by-step explanation:
Let x and y be the price per dozen of hot dogs and bratwursts respectively.
The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60
8x + 13y = 282.60
The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00
10x + 15y = 333
and we have the linear system
<em>8x + 13y = 282.60 </em>
<em>10x + 15y = 333 </em>
which can be written in matrix form as
The solution would be given by
We have
hence
Now,
if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75
if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35
Question is not complete and so I have attached the complete question.
Answer:
C: f(x) = -½x + 4
Step-by-step explanation:
Using slope formula between 2 points, we know that;
slope; m = (y2 - y1)/(x2 - x1)
Let's consider 2 points from the table;
(0, 4) and (-4, 6)
Thus;
m = (6 - 4)/(-4 - 0)
m = 2/-4
m = -½
Now using slope intercept form equation which is y - y1 = m(x - x1), we can find the equation of the function by picking on point say (0, 4).
Thus;
y - 4 = -½(x - 0)
y - 4 = -½x
y = -½x + 4
Thus;
f(x) = -½x + 4
