Question

In january 2007, there were 71,000 registered gasoline-electric hybrid cars in the united states. in 2004, there were only 29000 registered gasoline-electric hybrids.

Write an equation describing the relationship between time and number of registered gasoline-hybrid cars. Use ordered pairs of the form (years past 2004 number of cars).

Answer 1

The equation describing the relationship between time and the number of registered gasoline-electric hybrid cars is y = 14000x + 29000.

Step-by-step explanation:

Let's define the years past 2004 as 'x' and the number of registered gasoline-electric hybrid cars as 'y'. We have two ordered pairs: (0, 29000) and (3, 71000) representing the years 2004 and January 2007 respectively.

To find the equation of the relationship between time and the number of registered cars, we can use the slope-intercept form of a linear equation, which is y = mx + b. We can first find the slope using the formula:

slope (m) = (change in y) / (change in x) = (71000 - 29000) / (3 - 0) = 42000 / 3 = 14000

Now, we can substitute one of the ordered pairs and the slope into the slope-intercept form to find the y-intercept (b):

29000 = 14000(0) + b

b = 29000

Therefore, the equation describing the relationship between time and the number of registered gasoline-electric hybrid cars is:

y = 14000x + 29000