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julsineya
6 days ago
8

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]6 days ago
6 0
The equation that represents the quantity of quarters, q, and dimes, d, in Austin's piggy bank is standardized as 5q + 2d = 270. This can be altered to slope-intercept form for clarity. By dividing every term by 2, the equation transforms to d = -2.5q + 135. This indicates that Austin starts with 135 dimes in his piggy bank and is losing 2.5 dimes for each quarter he has.
AnnZ [12.3K]6 days ago
4 0
Sample Response: To determine one intercept, set d = 0 in the equation to solve for q. For the other intercept, set q = 0 and solve for d. The intercepts signify that the bank could contain 54 quarters and no dimes or 135 dimes without any quarters.
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Answer:

y=4x+7.75; continuous

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