There is 3.7 grams of sugar in each ounce of sugar Buzz.
Two variables are said to be proportional or have a proportional relationship when they have equivalent ratios. That is they increase or decrease by a factor.
Let x represent the size of Sugar Buzz soft drink and let y represent the amount of sugar.
y is proportional to x, hence:
y = kx; k is the constant of proportionality.\
When x = 12 ounce, y = 44.4 grams, hence:
12k=44.4
k = 3.7 gram per ounce
Therefore there is 3.7 grams of sugar in each ounce of sugar Buzz.
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F(x) = x + 8
This is because you are simply moving the y-intercept up 8 units.
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answer
$962.50
set up equation
first, we want to find out how many gallons of gas she'll save a year
x1 = gallons for old car
x2 = gallons for new car
gallons saved = x1 - x2 since she uses more gallons with the old car with a lower miles per gallon
then, find how much she saves on gas by multiply the price per gallon (3.85) by gallons saved
price saved = gallons saved * price
price saved = (x1 - x2) * 3.85
gallons with old car
to find the number of gallons, we divide the number of miles (15000) by miles per gallon (24 for the old car)
x1 = 15000 / 24
x1 = 625
gallons with new car
use the same process as with the old car, but with 40 miles per gallon instead
x2 = 15000 / 40
x2 = 375
plug in values
price saved = (x1 - x2) * 3.85
price saved = (625 - 375) * 3.85
price saved = 250 * 3.85
price saved = $962.50
A x b = 24
Possible values of a and b are:
1 x 24 = 24
2 x 12 = 24
3 x 8 =24
4 x 6 = 24
The possible sums of a and b are:
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
Therefore, the least possible sum of a and b is 10.
