Answer:
x=1.5
Step-by-step explanation:
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
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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
5x + 6y = 272
if you need the y-intercept
y= - 5x/6 + 45.5
Let's call the width: w
the lenght is then 3w+4 ("4 more than 3 times the width")
and the parameter would be 2(w+3w+4), that is 2*(4w+4), that is 8w+8.
this is also equal to 18.4:
8w+8=18.4
8w=10.4
w=1.3
this is the width, and the lenght is:
4+3*1,3=4+3.9=7.9
and the area is their product:
1.3*7.9=10.27
