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Interpret the given
information:
At a
baseball game, Jose bought five hot dogs and three sodas for
$17. At the same time, Allison bought two hot dogs and
four sodas for $11.
Let d = cost of hotdog
Let s = cost of soda
5d + 3s = 17
2d + 4s = 11
Answer: d = $2.50
s = $1.50
Check:
5(2.5) + 3(1.5)=17
12.5 + 4.5 = 17
17 = 17 |
2(2.5) + 4(1.5) = 11
5 + 6 = 11
11 = 11 |
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Interpret the graph:
The blue line is 5d + 3s = 17
s = -5d/3 + 17/3
The red line is
2d + 4s = 11
s = -d/2 + 11/4
dogs on x-axis
sodas on y-axis
The point where the lines intersect is the location where the
the values of d and s make both equations true.
It is the point where we find the price of one hotdog, d,
and one soda, s. |
