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.

5q + 2d = 270

The intercepts can be calculated by first putting d equal to 0 and then q equal to 0. These will be:

5q = 270

q = 54; (0, 54)

2d = 270

d = 135; (135, 0)

The equation represents the total number of coins in the piggy bank and (0, 54) shows the number of quarters in the piggy bank when there are no dimes and (0, 135) shows the number of dimes when there are no quarters.