Hello from MrBillDoesMath!
Answer: The relationship is linear. The equation is y = 2x + 19
Discussion:
When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....
So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,
(change in y) / (change in x) = 4/2 = 2 = slope of line.
so y = 2x + b. As the line passes through the point ( -7, 5)
5 = 2 (-7) + b or
5 = -14 + b or ( adding 14 to both sides)
5 + 14 = 19 = b.
Hence the equitation the line is y = 2x + 19
Thank you,
MrB
1. Car Mart sell 11 cars per day.
You can use the table by looking at day 2 and day 3. You can see underneath it, it shows how many cars is left after that particular day. So from day 2, you have 43 cars left and day 3, you got 32 cars left. From 43 car to 32 car is losing 11 car. So each day the Car Mart sell 11 car.
2. First we know that after 3 days, Winston have 32 cars left and after 5 day, it has 12 cars left.
Here’s the chart that I made for Winston:
Each day, Winston’s sell 10 cars. (Lose 10 cars per day)
Just substitute 4 for x in the given equation:
h(4) = 3^4 - 7 = 81 - 7 = 74 (answer)