Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans pl
ants 29 daisies, how many snapdragons will he plant? The equation __ models the scenario. Hans will plant ___ snapdragons.
2 answers:
The equation y = - x + 45 models the scenario. Hans will plant 16 snapdragons.
Thx to @Edufirst
The table is:
Number of Number of
snapdragons, x daisies, y
11 34
12 33
13 32
14 31
From that you can see that starting at (11,34) the daisies, y, decreases, per each unit of snapgragons increase.
=> slope ( -1), point (11,34).
So, using the slope - point equation you find
y - 34 = - 1 * (x - 11)
=> y = - x + 11 + 34
=> y = - x + 45
To plan 29 daisies he needs to plan y = - 29 + 45 = 16 dragons.
Answer: <span>The equation y = - x + 45 models the scenario. Hans will plant 16 snapdragons.</span>
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