Answer: Choice E)
The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.
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Explanation:
x = amount of sugar (in grams)
y = number of calories in the juice
ŷ = estimate of y, so its the estimate of calories in the juice
The regression equation rearranges to ŷ = 2.5x + 57
This is in the form y = mx+b where m = 2.5 is the slope and b = 57 is the y intercept.
The slope tells us what the rate of change is. Specifically, it tells us how much the amount of calories (y) is going up each time the amount of sugar (x) goes up. Each time x goes up by 1, y goes up by 2.5
The y intercept 57 is the starting or initial amount of calories. If you have 0 grams of sugar, the lowest amount of sugar possible, then you start off with 57 calories. We can see this by plugging x = 0 into ŷ = 2.5x + 57 (you should get ŷ = 57). Visually, the y intercept is where the line crosses the y axis.
All of these facts point to choice E as the final answer.
1.) 6x-8y=18, 2x+8y=6 → Multiplication property of equality
2.) 8x=24 → Addition property of equality
3.) x=3 → Division property of equality
4.) 3(3)-4y=9 → Substitution property of equality
5.) 9-4y=9 → Simplify
6.) -4y=0 → Subtraction property of equality
7.) y=0 → Division property of equality
Each tank holds 4.25 gallons! 17/4 is 4.25 :) hope this helps!
Jaime is correct,
because when you turn a decimal into percent, you move the decimal two places, you are basically multiplying by 100.<span />
-7x+14>-3x-6
Add 3x to both sides
-7x+14+3x>-3x-6+3x
-4x+14>-6
Subtract 14 from both sides
-4x+14-14>-6-14
-4x>-20
Divide both sides by -4
-4x/4>-20/-4
x<5
I hope that's help , please let me know !
