The linear equation represented on the coordinate plane represents the cost of renting a bike per hour.

Question

(1 point)
1) The liner equation written in slope-intercept form is

2) The cost of renting the bike for 2 hours is $

3) (4,
) is on the linear equation.

4) The point (6,50) represents that it cost $
to rent the bike for
hours

5) The y-intercept is located at
(write your answer as an ordered pair)

6) The y-intercept represents that at
hour(s), the cost of the bike rental is $

7) For $60, you can rent the bike for
hours

Answer 1

To answer the questions, we need to establish a linear equation in slope-intercept form. While you have not provided a specific equation, I'll assume a typical format for a bike rental cost example. Let's say the equation is:

$$y=mx+b$$

where $y$ represents the total cost of renting the bike, $x$ represents the number of hours rented, $m$ is the slope (cost per hour), and $b$ is the y-intercept (fixed cost or starting cost).

Let’s use an example with a slope of 20 and a y-intercept of 0. Thus, the equation would be:

$$y=20x$$

Using this equation, we can answer each question:

1. The linear equation written in slope-intercept form is: $$y=20x$$

2. The cost of renting the bike for 2 hours is: $$y=20(2)=40$$ So, it costs $40 to rent the bike for 2 hours.

3. (4, _) is on the linear equation: To find the y-coordinate when $x=4$: $$y=20(4)=80$$ Thus, the point is $(4,80)$.

4. The point (6,50) represents that it costs $: To find out if this point is on our line - the cost for 6 hours would be: $$y=20(6)=120$$ So, $(6,50)$ does not fit our equation with $y=120$ for 6 hours; thus it likely represents an incorrect interpretation or slope. But based on this equation, it represents:

   • It cost $50 to rent the bike for 2.5 hours (because $50=20x\Rightarrow x=2.5$).

5. The y-intercept is located at: Since there is no fixed cost in our equation, the y-intercept is: $$(0,0)$$

6. The y-intercept represents that at 0 hour(s), the cost of the bike rental is: At $0$ hours, the cost is $0.

7. For $60, you can rent the bike for: To find out how many hours this cost represents: $$60=20x\Rightarrow x=3$$ Thus, for $60, you can rent the bike for 3 hours.

Please adjust any example numbers based on the actual values or slopes relevant to your specific problem if those differ!