D equals 4. Because 5D is like five times four.
ANSWER:
a) y = 15x + 75
b) 50 weeks
EXPLANATION:
P A R T A
2 weeks, 105 dollars --> (2, 105)
5 weeks, 150 dollars --> (5, 150)
<u />
<u>if we use slope intercept form (y=mx+b), we must:</u>
1) find the slope
y2 - y1 -->> 150 - 105 = 45
x2 - x1 -->> 5 - 2 = 3
45/3 = 15
2) find the y intercept
y = 15x + b -->> 150 = 15 (5) + b -->> 150 = 75 + b -->> 75 = b
--------------------------------------------------------------------------------------------
P A R T B
y = 15x + 75 (substitute the y with 825 because that is the goal)
825 = 15x + 75 (solve normally)
750 = 15x
50 = x
Well since we can use a base of 1 we know that 1 - 45 is less than 4 but -1 + 45 is not, which follows the assumption that x>0, but now we need to know what x is less than to fit the inequality. If we use 5 as a trial we can see that 5 - 9 = -4 so 0<x<5 is your answer. Hope this helps I basically used trial and error. If you want to check try 3 or 4 for x and it will work but 6 will not.
If Kareem put 8 quarts the dryer will run for 48 minutes
Hope this helps