Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
The correct equation that models Emma's situation is [tex]\(y = 20x + 0.15s\)[/tex].
Here's the detailed step-by-step breakdown:
1. Identify the Format of the Equation:
The equation is in the form [tex]\(y = mx + cs\)[/tex], where [tex]\(m\)[/tex] and [tex]\(c\)[/tex] are constants.
2. Compare Given Equations with the Desired Form:
- [tex]\( y = 20x + 0.15 \)[/tex]
- [tex]\( y = 20x + 15 \)[/tex]
- [tex]\( y = 20x + 0.15s \)[/tex]
- [tex]\( y = 20x + 15s \)[/tex]
3. Check for Presence of [tex]\(s\)[/tex]:
We are looking for an equation with [tex]\(s\)[/tex] included in it. Therefore, we can eliminate equations without [tex]\(s\)[/tex]:
- [tex]\( y = 20x + 0.15 \)[/tex] (no [tex]\(s\)[/tex], eliminate)
- [tex]\( y = 20x + 15 \)[/tex] (no [tex]\(s\)[/tex], eliminate)
4. Evaluate Equations with [tex]\(s\)[/tex]:
- [tex]\( y = 20x + 0.15s \)[/tex]
- [tex]\( y = 20x + 15s \)[/tex]
5. Choose the Correct Constant:
- The constant added to [tex]\(20x\)[/tex] should be [tex]\(0.15s\)[/tex], not [tex]\(15s\)[/tex].
6. Match with the Desired Form [tex]\(y = mx + cs\)[/tex]:
The equation [tex]\(y = 20x + 0.15s\)[/tex] fits the desired format [tex]\(y = mx + cs\)[/tex] perfectly with [tex]\(m = 20\)[/tex] and [tex]\(c = 0.15\)[/tex].
Therefore, the equation that correctly models Emma's situation is:
[tex]\[ y = 20x + 0.15s \][/tex]
Here's the detailed step-by-step breakdown:
1. Identify the Format of the Equation:
The equation is in the form [tex]\(y = mx + cs\)[/tex], where [tex]\(m\)[/tex] and [tex]\(c\)[/tex] are constants.
2. Compare Given Equations with the Desired Form:
- [tex]\( y = 20x + 0.15 \)[/tex]
- [tex]\( y = 20x + 15 \)[/tex]
- [tex]\( y = 20x + 0.15s \)[/tex]
- [tex]\( y = 20x + 15s \)[/tex]
3. Check for Presence of [tex]\(s\)[/tex]:
We are looking for an equation with [tex]\(s\)[/tex] included in it. Therefore, we can eliminate equations without [tex]\(s\)[/tex]:
- [tex]\( y = 20x + 0.15 \)[/tex] (no [tex]\(s\)[/tex], eliminate)
- [tex]\( y = 20x + 15 \)[/tex] (no [tex]\(s\)[/tex], eliminate)
4. Evaluate Equations with [tex]\(s\)[/tex]:
- [tex]\( y = 20x + 0.15s \)[/tex]
- [tex]\( y = 20x + 15s \)[/tex]
5. Choose the Correct Constant:
- The constant added to [tex]\(20x\)[/tex] should be [tex]\(0.15s\)[/tex], not [tex]\(15s\)[/tex].
6. Match with the Desired Form [tex]\(y = mx + cs\)[/tex]:
The equation [tex]\(y = 20x + 0.15s\)[/tex] fits the desired format [tex]\(y = mx + cs\)[/tex] perfectly with [tex]\(m = 20\)[/tex] and [tex]\(c = 0.15\)[/tex].
Therefore, the equation that correctly models Emma's situation is:
[tex]\[ y = 20x + 0.15s \][/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.