Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
Answer:
6/8, 2/3, 3/7
Step-by-step explanation:
3/7=0.4285
6/8=0.76
2/3=0.6666
Answer: the costs would be the same if he orders 29 rose flowers.
Step-by-step explanation:
Let x represent the number of roses that Victor would order such that the cost will be the same with either flower shop.
Dayton Florist charges $3 per rose, plus $12 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is
3x + 12
Tammy's Flowers, in contrast, charges $2 per rose and $41 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is 2x + 41
For the costs to be the same, the number of rose flowers that he orders would be
3x + 12 = 2x + 41
3x - 2x = 41 - 12
x = 29
Five times a variable equals the variable to the third power
The X=1 is Y= 5
The x=0 is Y= 8
The x=3 is Y= -1