Last Saturday, Luke had 165 followers on social media. Rhys had 537 followers. On average, Luke gains another 3 followers per day and Rhys loses 2 followers per day. If x represents the number of days since last Saturday and y represents the number of followers, which pair of equations model this situation? A. Luke: y = 165 + 3x Rhys: y = 537 - 2x B. Luke: y = 165 + 3x Rhys: y = 537 - 2 C. Luke: y = 3x + 165 Rhys: y = 2x - 537 D. Luke: y = 3 + 165x Rhys: y = 2 - 537x

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Last Saturday, Luke had 165 followers on social media - HSC - SSCE Mathematics Standard - Question 14 - 2019 - Paper 1

Question 14

Last Saturday, Luke had 165 followers on social media. Rhys had 537 followers. On average, Luke gains another 3 followers per day and Rhys loses 2 followers per day.... show full transcript

Worked Solution & Example Answer:Last Saturday, Luke had 165 followers on social media - HSC - SSCE Mathematics Standard - Question 14 - 2019 - Paper 1

Step 1

Luke: y = 165 + 3x

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Answer

To model Luke's followers, we start with his initial count of 165 followers. Since he gains 3 followers per day, the equation becomes:

$y = 165 + 3x$

where $x$ is the number of days since last Saturday.

Step 2

Rhys: y = 537 - 2x

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Answer

For Rhys, he begins with 537 followers and loses 2 followers each day. Therefore, his equation is:

$y = 537 - 2x$

where $x$ again represents the days since last Saturday.

Step 3

Conclusion

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Answer

The correct pair of equations that model the situation is:

Luke: $y = 165 + 3x$
Rhys: $y = 537 - 2x$

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