There are two jobs you can apply for. the first job pays $22,000 the first year, with raises of $4,000 each year thereafter. the second job pays $26,000 the first year with raises of $2,000 each year thereafter. when would you make as much money in the first job as in the second?

Question

Brennen Gill

Mathematics

3 September, 21:56

There are two jobs you can apply for. the first job pays $22,000 the first year, with raises of $4,000 each year thereafter. the second job pays $26,000 the first year with raises of $2,000 each year thereafter. when would you make as much money in the first job as in the second?

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Baylee Austin · Answer 1

We let the number of years that the two jobs will have the same payment be denoted as t. Equating the wages of these two jobs after t - 1 years will give us an equation of,

22,000 + 4000 (t - 1) = 26,000 + 2000 (t - 1)

The value of t from the generated equation is 3. Therefore, after 3 years the jobs will be paying the same wages.