At the amusement park, the paddle boats have a sign posted: 2x+2y=500 Where x and y are the weights of the riders.
At the amusement park, the paddle boats have a sign posted:
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Which of the following can be the weights of the two riders?
A. (100, 200)
B. (240, 0)
C. (150, 340)*
D. (100, 150)
My bad I forgot to delete At the amusement park, the paddle boats have a sign posted:
Question Image
First of all, whoever made the sign did not take math, or he would have simplified
the message on the sign to
x+y = 250
Now, for which of the ordered pairs do the x and the y add up to 250 ?
Does your choice also work in the un-simplified version? It must!
Oh, Reiny my bad 2x+2y<500 Where x and y are the weights of the riders.
That how it suppose to be
So what ?
Wouldn't that simply change my question to ...
"For which of the ordered pairs do the x and the y add up to less than 250" ???
To determine which of the given options can be the weights of the two riders, we need to substitute the values of x and y from each option into the equation 2x + 2y = 500 and check if the equation is satisfied.
Let's go through each option and substitute the values:
A. (100, 200)
Substituting x = 100 and y = 200 into the equation:
2(100) + 2(200) = 500
200 + 400 = 500
600 ≠ 500
The equation is not satisfied, so option A is not correct.
B. (240, 0)
Substituting x = 240 and y = 0 into the equation:
2(240) + 2(0) = 500
480 + 0 = 500
480 ≠ 500
The equation is not satisfied, so option B is not correct.
C. (150, 340)
Substituting x = 150 and y = 340 into the equation:
2(150) + 2(340) = 500
300 + 680 = 500
980 ≠ 500
The equation is not satisfied, so option C is not correct.
D. (100, 150)
Substituting x = 100 and y = 150 into the equation:
2(100) + 2(150) = 500
200 + 300 = 500
500 = 500
The equation is satisfied, so option D is correct.
Therefore, the only option that satisfies the given equation is D. (100, 150).