R = 2x + 9y [ Given ]
When,
★ Substituting the values in the above equation
=> 13 = 2x + 9 × 3
=> 13 = 2x + 27
=> 13 - 27 = 2x
=> -14 = 2x
=> x = -14/2
=> x = -7
Answer:
a) 0.75 inch/month
b) y-20 = 0.75(x-4)
c) 17 inches
d) 44
a) 0.8 inch/month
b) yes
c) y = 0.8x + 18.8
d) 18.8 inches
Step-by-step explanation:
a) (21.5-20)/(6-4) = 1.5/2
= 0.75 inch/month
If this is correct, 2 months after the 6th month (month 8), it should be
21.5 + 2(0.75) = 23
Which it is
b) y-y1 = m(x-x1)
Where y is the length, x is the months, m is the slope and (x1,y1) is a known point
At x = 4, y = 20
y-20 = 0.75(x-4)
Or
y = 0.75x + c
20 = 0.75(4) + c
c = 20 - 3 = 17
y = 0.75x + 17
c) at birth, 4 months before month 4
So, 20 - 0.75(4) = 17
Which is also the y-intercept
d) y = 0.75(36) + 17
y = 27 + 4 = 44 inches
Generally, at the age of 3 years (36 month) the length is between 35 and 40 inches
a) slope = (30-22)/(14-4)
= 0.8 inch/month
b) 0.8 > 0.75, so yes
c) When x = 4, y = 22
y-22 = 0.8(x - 4)
y - 22 = 0.8x - 3.2
y = 0.8x + 18.8
y-intercept is 18.8
d) at birth, x = 0.
Length was 18.8 inches
Step-by-step explanation:
4inches = 1/3 of a foot (4inches x 3 = 12 inches) - so she can cut 3 out of each foot
1 yard = 3 feet - so she can cut 3 x 3 = 9 out of each yard
18 x 9 = 162 pieces
Answer:
$8.2225
Step-by-step explanation:
100% - 45% = 55%
then divide 55 by 100 to get .55
lastly multiply .55 to 14.95 to get 8.2225
