5/2 is already in its simplest form. You cannot reduce this fraction any further.
Answer:
1a. y-intercept: 12
1b. slope: -3/2
1c. equation: y = -3/2x +12
2a. y-intercept: -9
2b. slope: 2
2c. equation: y = 2x -9
Step-by-step explanation:
<h3>1.</h3>
A) We observe the pattern to be <em>x-values in the table increase by 2, while y-values in the table decrease by 3</em>. We notice the first x-value is 2, so extending the table upward to x=0 would tell us the y-intercept. That is, adding 3 to the first y-value will give the y-intercept as (x, y) = (0, 12).
B) We have already observed that the "rise" (change in y) is -3 for each "run" (change in x) of 2. The slope is the ratio of these changes:
slope = m = rise/run = -3/2
C) From the above, we know that m=-3/2 and b=12. Putting these values into the equation for the line gives ...
y = -3/2x +12
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<h3>2.</h3>
A) We observe the pattern to be <em>y-values increase by 2 while x-values increase by 1</em>. As before, we can find the point that would go before the first one shown in the table. It will have an x-value of 0 and a y-value of -9.
the y-intercept is -9
the slope is 2/1 = 2
the equation is y = 2x -9
Answer:
25,600
Step-by-step explanation:
You can use the rule of three considering that the number of dolls sold varies directly with the advertising budget:
$54,000 → 9,600
$144,000 → x

x=25,600
According to this, the number of dolls sold if the amount of advertising budget is increased to $144,000 is 25,600.
Answer:
F.
Explanation:
The number of quarts of cream Type A is x.
Type A cream has 18% butterfat, so the amount butterfat will be 0.18x
For type B, we know that the total amount of cream will be 90, so if cream type A is x, cream type B is 90 - x.
Type B crem has 24% butterfat, so teh amount in the mixture will be 0.24(90-x)
Then, the mixture will be 90 quarts of crean that is 22% butterfat, so the amount in the mixture will be 0.22(90)
Therefore, the table that represent this data is table F.
So, the answer is F.