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

Question

BigorU [14]

3 years ago

15

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:

vazorg [7] · Answer 1 · 2022-06-03T16:02:04+03:00

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.

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

Mice21 [21] · Answer 2 · 2022-06-03T17:08:45+03:00

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: