Question

topic 9 block 8 homework
name
iman plays the violin. iman wants to practice a minimum number of minutes per week. she keeps track of her practice times to make sure she practices at least the minimum amount. on wednesday, iman represents her practice time for the week so far as $35 + x \geq 100$. which statements are true? select all that apply.
\\(\circ\\) iman wants to practice at least 100 minutes a week.
\\(\circ\\) iman will practice no more than 100 minutes a week.
\\(\circ\\) iman will practice 35 more minutes this week.
\\(\circ\\) iman wants to practice 35 minutes a week.
\\(\circ\\) the number of minutes iman still needs to practice is represented by \\(x\\).
\\(\boldsymbol{2}\\)
which scenarios could be represented by the inequality \\(150 < x\\)? select all that apply.
\\(\circ\\) every patient at the clinic weighs more than 150 pounds.
\\(\circ\\) the smith family phone bill is less than $150 a month.
\\(\circ\\) the room rate at the hotel monte cristo starts at $150 per night.
\\(\circ\\) the sanchez family saves more than $150 a month.
\\(\circ\\) a popular new band receives at least 150 \likes\ on social media each week.
\\(\boldsymbol{3}\\)
sandy represents the amount of money she has in her savings account with the inequality \\(x \leq 100\\). what best describes the amount of money sandy has in her savings account?
\\(\circ\\) sandy has $100 in her savings account.
\\(\circ\\) sandy has $100 or less in her savings account.
\\(\circ\\) sandy has at least $100 in her savings account.
\\(\circ\\) sandy has more than $100 in her savings account.
\\(\circ\\) sandy has less than $100 in her savings account.

Explanation:

Step1: Analyze first inequality $35+x\geq100$

The inequality means total practice time (35 minutes done + $x$ minutes left) is at least 100 minutes.

Step2: Match to first question statements

• "Iman wants to practice at least 100 minutes a week." matches the $\geq100$ condition.
• "The number of minutes Iman still needs to practice is represented by $x$." matches $x$ as remaining time.

Step3: Analyze inequality $150 < x$

This means $x$ (the quantity) is greater than 150.

Step4: Match to second question scenarios

• "Every patient at the clinic weighs more than 150 pounds." uses "more than 150", matching $150 < x$.
• "The Sanchez family saves more than $150 a month." uses "more than 150", matching $150 < x$.

Step5: Analyze inequality $x \leq 100$

This means $x$ (savings) is 100 or less than 100.

Step6: Match to third question options

• "Sandy has $100 or less in her savings account." matches $x \leq 100$.

Answer:

1. Iman wants to practice at least 100 minutes a week.

The number of minutes Iman still needs to practice is represented by $x$.

1. Every patient at the clinic weighs more than 150 pounds.

The Sanchez family saves more than $150 a month.

1. Sandy has $100 or less in her savings account.