Question 17 The cost $$ C(x) $$, where $$ x $$ is the number of miles driven, of renting a car for a day is $$ \$ 43 $$ plus $$ \$ 1.15 $$ per mile. What is the slope of the linear function and its units? select the correct units What is the $$ y $$-intercept and its units? units What is the linear function, $$ C(x) $$ ? $$ C(x)= $$ Select an answer $$ v $$. Question Help: $$ D $$ post to forum Submit Question

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UpStudy AI · Accepted Answer

1. The given cost function is  
   $$
   C(x)=43+1.15x
   $$  
   where  
   - $$43$$ is the fixed cost in dollars (the $$y$$-intercept)  
   - $$1.15$$ is the cost per mile (the slope)

2. **Slope:**  
   The slope of the function is the coefficient of $$ x $$, which is  
   $$
   1.15
   $$  
   **Units:** dollars per mile

3. **$$y$$-Intercept:**  
   The $$y$$-intercept is the constant term, which is  
   $$
   43
   $$  
   **Units:** dollars

4. **Linear Function:**  
   The linear function is  
   $$
   C(x)=43+1.15x
   $$
- **Slope:** \$1.15 per mile - **$$ y $$-Intercept:** \$43 - **Linear Function:** $$ C(x) = 43 + 1.15x $$

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