Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
352 . If you multiply 16 by 22 it will give u an answer of 352
The one in the top left corner is the answer
Answer:
The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy
Step-by-step explanation:
step 1
<em>Find out the unit rate of a regular tube of toothpaste</em>
we know that
To find out the unit rate, divide the total cost by the total weight
so

step 2
<em>Find out the unit rate of a travel size tube of toothpaste</em>
we know that
To find out the unit rate, divide the total cost by the total weight
so

step 3
Find out the percent of increase
we have that
The unit rate
represent the 100%
so by proportion
Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)

therefore
The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy