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?

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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

Luke started with 165 followers and gains 3 followers each day. Therefore, the equation that models Luke's followers after x days is:

$y = 165 + 3x$

Step 2

Rhys: y = 537 - 2x

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104 rated

Answer

Rhys began with 537 followers and loses 2 followers per day. Thus, the equation for Rhys's followers after x days can be expressed as:

$y = 537 - 2x$

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