Answer:
7. parallel: k = 3
perpendicular: k = -4/3
8. $1300
Step-by-step explanation:
7.
Rewrite each equation as the slope-intercept form of a linear equation:
y = mx + b (where m is the slope and b is the y-intercept)
8y = 12x + 6
⇒
4y = k(2x + 10)
⇒ 4y = 2kx + 10k
⇒
If the graphs are parallel their slopes will be the same.
If the graphs are perpendicular then the product of their slopes will be -1.
8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).
Choose 2 ordered pairs from the table: (10, 110) and (20, 195)
Let = (10, 110)
Let = (20, 195)
Use the slope formula to find the slope m:
Now use the point-slope form of linear equation:
Substitute x = 150 into the equation and solve for y:
Therefore, the total cost of ordereing 150 mugs is $1300
