# Problem 1: After Julia has driven for half an hour, she was 155 miles from Denver. After driving for 2 hours, she was 45 miles from Denver.  Assume that Julia drove at a constant speed.  Let f be a function that gives Julia’s distance from Denver after having driven for t hours. Determine a rule for the function f .

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Problem 1: After Julia has driven for half an hour, she was 155 miles from Denver. After driving for 2 hours, she was 45 miles from Denver.  Assume that Julia drove at a constant speed.  Let f be a function that gives Julia’s distance from Denver after having driven for t hours.

1. Determine a rule for the function f .
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Step 1

Given,

After driving half an hour, Julia is 155 miles from Denver.

And

After driving 2 hours, Julia is 45 miles from Denver.

Let the points be

Step 2

Since, it is given that Julia is moving with constant speed.

Therefore,

Step 3

Therefore...

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### Algebra 