Answer:
10a. 439
10b. 1253
11a. linear
11b. $37.23
Explanation:
10. Put the numbers in the equation and do the arithmetic. For logarithms, a scientific or graphing calculator will be required. The first attachment shows the result for 2 years = 24 months.
920log(3) ≈ 439 . . . after 4 months
920log(23) ≈ 1253 . . . after 2 years
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11. Your experience with taxis tells you the fare is usually based on time and distance and some fixed charge. That is, it is roughly linearly related to distance. Plotting these data points will tell you the same thing: a linear model is suitable.
A graphing calculator or spreadsheet (or any of several web sites) can help you calculate the regression model. The second attachment shows my result:
fare ≈ $2.10 + 3.513×miles
So, for 10 miles, the expected fare is ...
$2.10 + 3.513×10 = $37.23
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Comment on these problems
It is useful to learn to use your calculator's various functions. That can save you a lot of effort and angst.