Ex.
f + g = y
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3
3(f+g) = (y) 3
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3
f + g =3y
f - f + g = 3y - f
g = y - f
Rates like $ per channel is a slope, "m". The added fee is a constant so it's the intercept "b".
y = mx + b
So for the first problem (9)
(a)
y = total cost in dollars
x = number of premium channels
y = 16x + 44
(b) when x = 3 channels
y = 16(3) + 44
y = 92 $
the second problem (10)
(a) every 4 years the tree grows by 12-9=3 ft
So the unit rate or slope will be 3 ft per 4 yrs, (3/4). You can see this also by solving for slope "m" using the given points (4,9) and (8,12).
x = number of years
y = height of tree in ft
y = (3/4)x + b
use one of the points to find the y-intercept "b".
9 = (3/4)(4) + b
9 = 3 + b
9 - 3 = b
6 = b
y = (3/4)x + 6
(b) when x = 16
y = (3/4)(16) + 6
y = 12 + 6
y = 18 ft
Answer:
a
Step-by-step explanation:
Expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.
<u>Solution:</u>
Given that
A construction worker bought several bottles of juice for $3 at the comedian store
She paid for them the $20 bills
Number of bottles of juice is represented by variable J
Need to write an expression for the change she receives.
From given information
Price of 1 juice bottle = $3


<em>Change she receives = Amount she paid - price of J juice bottles
</em>
=> Change she receives = 20 – 3J
Hence expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.
Answer:
I think option B is correct