Question

3 Two-Step Inequality Word Problems 93 POINTS

Answer 1

Problem 1

She can add 3 books max or less if she wants to

Problem 2

She can only get 12 wrong is she wants to meet her goal

Problem 3

they would have to walk 11.7 a day to finish in 4 days

I AM REALLY BAD AT EXPLAINING

Answer 2

Problem 1: Joann can add 3 books or less.

The package weighs 9.5 ounces.

You can represent this in an inequality, where Joann wants the package to weigh less than or equal to 32 ounces:

`7.5b + 9.5 \leq 32`, where B = the number of books she adds.

You can then simplify this equation:

`7.5b \leq 22.5`

Joann can add 3 books or less.

Problem 2: Kierra can get less than 12 questions wrong.

Kierra needs more than an 82 to make her goal.

You can represent this in an inequality, where Kierra can only get a certain amount of questions wrong:

`100 - 1.5q > 82`, where Q = the questions Kierra gets wrong.

You can then simplify this equation:

`-1.5q > -18\\`

Kierra can get 12 questions wrong to get an 82, but needs LESS than 12 wrong to get above an 82.

Problem 3: Hunter must walk 11.7 miles per day or more to finish.

Hunter is hiking 52 miles over 4 days, and wants to make sure they can finish the hike after walking 28.6 in 2 days.

You can represent this in an inequality, where Hunter wants to walk the remainder of the hike in 2 days:

`28.6 + 2m > 52`, where M = the number of miles Hunter walks per day.

You can then simplify this equation:

`2m \geq 23.4\\m \geq 11.7`

Hunter must walk 11.7 miles or more to finish the trail.