Question

Jamal is shopping for a new mp3 player. The difference between the least expensive and most expensive models he looks at is no more than $35. The least expensive player that he looks at costs $45. Which inequality best represents the possible price, p

, of the most expensive model?

Multiple choice question.

A)
p<80


B)
p≤80


C)
p<10


D)
p≤10

Answer 1

A) p<80

Step-by-step explanation:

We are given that the difference between the least expensive and most expensive models Jamal looks at is no more than $35. Let the price of the most expensive model be p. Then, we can write the following inequality to represent the given information:

p - 45 ≤ 35

Simplifying this inequality, we get:

p ≤ 80

Therefore, the possible price, p, of the most expensive model is less than or equal to $80. However, since we are also given that the price difference is no more than $35, the actual range of possible prices for the most expensive model is:

45 ≤ p ≤ 80

So, option A) p<80 is the most accurate representation of the possible price range.