Math

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The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold five cars (P0=5
). The second week the dealership sold cars (P1=12

Pn = Pn−1+7
12-5=7

Pn=5+7n

If this trend continues, how many cars will be sold in the fourth week?

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  3. 👁 2,090
  1. You know that

    Pn = 5+7n

    so, replace n with 4, and you get

    P4 = 5+7*4 = 33

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    posted by Steve
  2. This was an incorrect answer

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  3. If you're talking linear growth as a fixed rate of increase over time, you're increase would be 4 cars per week. You might assume a three-fold increase, but that wouldn't be linear. So 2 cars in week 1, 6 in week 2, 10 in week 3, and 14 in week 4. Add up all the cars sold (because you want to know how much he made in the first 4 weeks) and you get 32. 32 x $100 = $3,200.
    Fair pay for a week (before taxes, though).

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    posted by Carmen
  4. You would have sold 26 cars. 5+7(3)=26. Hope it helps future people.

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