Question

Which situation can be represented by this inequality?

135 ≤ 10r + 15

Question 8 options:

A Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?


B Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?


C Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?


D Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?

Answer 1

D

Explanation:

So the key to figuring this equation is writing it out. If Hugo already has 15 songs, then he will add 15 at the end for his collection. If he gets 10 every month, for r months, you must multiply them for 10r. You do this because you get 10 for r, the amount of months. This is where you add the 15, since it is your collection total.

so far we have 10r + 15

For teh last part we see that the equation, 135 ≤ 10r + 15, says that 135 is less than or equal to our 10r +15. This means that D has to be the answer since nothing else will fit.