A lawn-mowing company is trying to grow its business. It had 30 clients when they started its business and wants to increase by

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A lawn-mowing company is trying to grow its business. It had 30 clients when they started its business and wants to increase by

6 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.

Mathematics

1 answer:

tester [12.3K] · Answer 1 · 2026-04-03T19:17:37+03:00

The function is: B. f(x) = 3x + 26; 26≤ y ≤ 35. This is a linear function structured as y = mx + b, where b signifies the initial value (or 26 clients). The slope, denoted by m, indicates the increase per week. By setting x = 0, we find y = 26, representing our starting point. With x = 3, or the fourth week, we compute y = 3*3 + 26, simplifying to y = 9 + 26, resulting in y = 35.