Solve the problem.Since 1984, mini-van sales have been on the rise, while station wagon sales have decreased. Let M represent the number (in millions) of mini-vans sold during the year that is t years since 1980. Let S represent the number (in millions) of station wagons sold during the year that is t years since 1980. The equations for M and S are given below.M = 0.12t - 0.22 mini-vansS = -0.10t + 1.43  station wagons
i)What are the slopes of M and S? What do they mean in terms of car sales?ii) Estimate in which year the same number of mini-vans were sold as station wagons. How many were sold of each?

What will be an ideal response?


i) The slopes of M and S are 0.12 and -0.10, respectively. This means that mini-van sales are increasing by 120 thousand cars per year and station wagon sales are decreasing by 100 thousand cars per year.
ii) In 1988, the sales for mini-vans and station wagons were both 680,000.

Mathematics

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