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Fantom
2 months ago
7

The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that austin has in his

piggy bank is 5q 2d = 270. explain what the intercepts mean in terms of the context and how to find them.
Mathematics
2 answers:
lawyer [12.5K]2 months ago
6 0

Answer:

To find one intercept, set d = 0 in the equation and solve for q. For the other intercept, set q = 0 and solve for d. These intercepts indicate that the piggy bank could contain either 54 quarters without any dimes, or 135 dimes in the absence of quarters.

AnnZ [12.3K]2 months ago
3 0
5q + 2d = 270
To determine the intercepts, start by setting d to 0, then to find q. The conditions yield:
5q = 270
q = 54; (0, 54)
2d = 270
d = 135; (135, 0)
This equation illustrates the total number of coins in the piggy bank. For (0, 54), this indicates the quantity of quarters when dimes are absent, while (0, 135) displays the number of dimes when there are no quarters.
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