Tom has just received a new job offer he is told his starting salary will be at 75000 per year he is also told that his salary will be proba

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Tom has just received a new job offer he is told his starting salary will be at 75000 per year he is also told that his salary will be probably be 83000 in the next 4 years how much will he make in the next 10 years? I need to know the linear equation an expression that can be written out for a graph thank you

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    2021-09-08T21:43:13+00:00

    Tom has just received a new job offer he is told his starting salary will be at 75000 per year he is also told that his salary will be probably be 83000 in the next 4 years

    Let x be the number of years and y be the salary

    his starting salary will be at 75000 per year

    so when x=0 , y = 75000

    In 4 years, the salary will be 83000

    so when x = 4 , y = 83000

    We got two points (0,75000)  and (4,83000)

    Now we find slope and frame equation

    The formula for slope using two points

    \frac{y_2-y_1}{x_2-x_1}

    Replace all the values and find out slope

    \frac{83000-75000)}{4-0}

    \frac{8000}{4}= 2000

    So slope = 2000

    Now we use point slope formula

    y - y_1 = m (x-x_1)

    We use slope m = 2000 and (0,75000)

    y – 75000= 2000(x-0)

    Add 75000 on both sides

    y = 2000x + 75000

    Required linear equation is y = 2000x + 75000

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