**Problem Statement:**Callie has to spend at least $10 on a bracelet for her best friend's birthday present. The bracelet costs $4, and each charm costs $2. Which graph shows the number of charms Callie has to get on the bracelet for it to cost at least $10?**Graphs:**Each option represents a number line with a set of integers indicated.- **Option A:** The number line shows numbers from -1 to 5 with a closed dot on 3 and an arrow extending rightwards.- **Option B:** The number line displays numbers from -3 to 5 with a closed dot on 6 and an arrow extending rightwards.- **Option C:** The number line shows numbers from -3 to 5 with a closed dot on 4 and an arrow extending rightwards.- **Option D:** The number line includes numbers from -5 to 1 with a closed dot on 1 and an arrow extending rightwards.**Solution Explanation:**To determine which graph correctly shows the number of charms needed:1. Calculate the total spending needed: - Bracelet cost: $4 - Let the number of charms be $ x $, and each charm costs $2.2. Create the equation: \[ 4 + 2x \geq 10 \]3. Solve the inequality: \[ 2x \geq 6 \] \[ x \geq 3 \]Therefore, Callie needs at least 3 charms. The correct graph will indicate a closed dot at 3 and extend to the right. Hence, **Option A** is the correct choice.

Answered: Image /qna-images/answer/fc72d73c-3220-496a-87d6-3e82068d9407.jpg

Callie has to spend at least $10 dollars on a bracelet for her best friend's birthday present. The bracelet costs $4 dollars and each charm costs $2. Which graph shows the number of charms Callie has to get on the bracelet for it to cost at least $10 dollars? O A -543 2-10 12 2345 H!!! D

Callie has to spend at least $10 dollars on a bracelet for her best friend's birthday present. The bracelet costs $4 dollars and each charm costs $2. Which graph shows the number of charms Callie has to get on the bracelet for it to cost at least $10 dollars? O A -543 2-10 12 2345 H!!! D

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Problem Statement:**

Callie has to spend at least $10 on a bracelet for her best friend's birthday present. The bracelet costs $4, and each charm costs $2. Which graph shows the number of charms Callie has to get on the bracelet for it to cost at least $10?

**Graphs:**

Each option represents a number line with a set of integers indicated.

- **Option A:** The number line shows numbers from -1 to 5 with a closed dot on 3 and an arrow extending rightwards.
- **Option B:** The number line displays numbers from -3 to 5 with a closed dot on 6 and an arrow extending rightwards.
- **Option C:** The number line shows numbers from -3 to 5 with a closed dot on 4 and an arrow extending rightwards.
- **Option D:** The number line includes numbers from -5 to 1 with a closed dot on 1 and an arrow extending rightwards.

**Solution Explanation:**

To determine which graph correctly shows the number of charms needed:

1. Calculate the total spending needed:
- Bracelet cost: $4
- Let the number of charms be $ x $, and each charm costs $2.

2. Create the equation:
\[ 4 + 2x \geq 10 \]

3. Solve the inequality:
\[ 2x \geq 6 \]
\[ x \geq 3 \]

Therefore, Callie needs at least 3 charms. The correct graph will indicate a closed dot at 3 and extend to the right. Hence, **Option A** is the correct choice.

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