Anna is saving to buy some souvenirs on a family vacation. She has already saved $125, and she saves another $2 from her allowance every day.

Formulate and then graph the equation that models the total amount Anna saves, $ y $, in terms of the number of days she adds to her savings, $ x $.

Question

28-05-2024
Mathematics

College

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Anna is saving to buy some souvenirs on a family vacation. She has already saved $125, and she saves another $2 from her allowance every day.

Formulate and then graph the equation that models the total amount Anna saves, $ y $, in terms of the number of days she adds to her savings, $ x $.

Answer :

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jaiswaljyoti jaiswaljyoti · Answer 1 · 2025-04-16T13:44:25-04:00

The equation that models the total amount Anna saves, y, in terms of the number of days she adds to her savings, x, can be represented as y = 2x + 125, where 2x represents the total amount she saves from her allowance and 125 represents the initial amount she saved.

This is a linear equation in slope-intercept form, where the slope of the line is 2, indicating that she saves $2 per day, and the y-intercept is 125, indicating that she had already saved $125 before starting to save from her allowance. To graph this equation, we can plot the y-intercept at (0, 125) and use the slope to find other points on the line. For example, after 5 days, she would have saved y = 2(5) + 125 = 135 dollars, giving us the point (5, 135). Plotting this point and connecting it with the y-intercept will give us a straight-line graph.

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Anna is saving to buy some souvenirs on a family vacation. She has already saved $125, and she saves another $2 from her allowance every day.Formulate and then graph the equation that models the total amount Anna saves, \( y \), in terms of the number of days she adds to her savings, \( x \).

Answer :

Other Questions

Anna is saving to buy some souvenirs on a family vacation. She has already saved $125, and she saves another $2 from her allowance every day.

Formulate and then graph the equation that models the total amount Anna saves, \( y \), in terms of the number of days she adds to her savings, \( x \).