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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.

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MissPhiladelphia

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. This can be change to slope
intercept form to see the clearer picture. By dividing the whole equation by 2,
so the equation become d= -2.5q + 135.

This means that Austin has
initially 135 dimes in his piggy bank and he is losing 2.5 dimes per quater

Answer:

Sample response:  To find one intercept, let d = 0 in the equation and solve for q. To find the other intercept, let q = 0 in the equation and solve for d. The intercepts mean that the bank could be filled with 54 quarters and no dimes, or 135 dimes and no quarters.

Step-by-step explanation: