Janice has a coin collection that began with 26 coins. Since then, she has been adding to her collection at a rate of 5 coins every 3 months. Part A Write an equation that relates the number of coins, y, in Janice's collection x months since she started adding to her collection. Part B In the context of this problem, interpret and explain the y-intercept and slope of the graph of the equation.

Question

09-03-2020
Mathematics

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Janice has a coin collection that began with 26 coins. Since then, she has been adding to her collection at a rate of 5 coins every 3 months. Part A Write an equation that relates the number of coins, y, in Janice's collection x months since she started adding to her collection. Part B In the context of this problem, interpret and explain the y-intercept and slope of the graph of the equation.

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stevenslusser stevenslusser · Answer 1 · 2020-03-09T17:05:15+01:00

Step-by-step explanation:

The total number of coins Janice has collected is represented by y. The number of months she has been collecting is represented by x. Therefore, the equation is:

[tex]y=\frac{5}{3}x+26[/tex]

The y-intercept is 26. Thus, the line crosses the y-axis at 26 or, in other words, at the point (0, 26). The slope is 5/3. Thus, the line rises 5 units for every run of 3 units to the right. Additional points along the line are (3, 31), (6, 36), (9, 41), and (12, 46), for example.