If Brian biked at an average speed of 12.2 miles per hour for 1.45 hours, you can find the total distance by multiplying Explain how to find the product of 12.2(1.45).

First, multiply the numbers. Then count the number of decimal places in each factor. Place the decimal in the product so the product has the same number of decimal places as both factors combined.

Step-by-step explanation:

Did it on Edg.2020

1. 2x + 3y = 1470
    3y = -2x + 1470
    y = -2/3x + 490 <== slope intercept form

2. y = -2/3x + 490slope = -2/3y int = (0,490)
    to graph, start at (0,490)since the slope is -2/3, we will go down 2       spaces, then to the right 3 spaces, then down 2 spaces, and to the right 3 spaces. It helps to find the x int which can be found by subbing in 0 for y into the equation and finding x. So ur x int is (735,0)...this is where ur line should cross the x axis.

3. function notation : f(x) = -2/3x + 490...not sure how to explain the meaning...sorry

4. graph the functionit will be the same line as the graph I explained before...y = -2/3x + 490
y int = (0,490)
x int = (735,0)

5. original :                            new :
    2x + 3y = 1470                 2x + 3y = 1593
    3y = -2x + 1470                3y = -2x + 1593
     y = -2/3x + 490                y = -2/3x + 531

similarities : Both of these equations will have the same slope, which is -2/3. Both lines are descending. Both lines are parallel to each other.

differences : These lines will have different x and y intercepts
y = -2/3x + 490 : y int = (0,490), x int = (735,0)
y = -2/3x + 531 : y int = (0,531), x int = (796.5,0)

6. pick 2 points on the line(0,300) and (450,0)
find the slope using the slope formula : slope = (y2 - y1) / (x2 - x1)
(0,300)x1 = 0 and y1 = 300
(450,0)...x2 = 450 and y2 = 0
now we sub and find the slope
slope = (0 - 300) / (450 - 0) = -300/450 reduces to -2/3

now we use y = mx + b
slope(m) = -2/3
use either of ur points...(450,0)...x = 450 and y = 0
now sub and find b, the y int
0 = -2/3(450) + b
0 = - 300 + b
300 = b

so ur equation is : y = -2/3x + 300or  2x + 3y = 900