Question

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.

Answer 1

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.

Answer 2

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.