Answer: f(x) = 7x
See this table
x [ ft^3 of air in the ballon] f(x) [grams that can be lifted]
1 7
2 14
3 21
Movie Theater question:
the numerical value of 10% is 0.1, just as 50% is 0.5. if you multiple 20 by 0.1 you get 2, and subtract 2 from 20 you get 18.
The answer is 20 ounces.
Savings Account question:
if you multiply 0.1 by 220 you will get 10% of 220, then just add that answer to 220. so 0.1 x 220 is 22, 22+220 is 242.
The answer is $242.00
I hope this helps :)
Answer: 25%
Explanation: A fourth equals 1/4. If you divide 1 by 4, you get 0.25. Move the decimal points 2 points to the right, and you get 25% :Wicked:
Her cousin lives 184 miles away
Explanation: In this problem you need to solve for the distance, and you are given speed and time. With this information, we need to use the speed formula which is s=d/t where s=speed, d=distance, and t=time
Next all you have to do is plug in your values, which should look like this-
40=d/4.6
Now that you have your equation, you must solve for d to get your distance by isolating d to one side of the equation. You do this, by multiplying 4.6 on each side of the equation.
This is what the math should look like-
(4.6)40=d/4.6(4.6)
184=d
d= 184 miles
I hope this helped!
Slope-intercept form: y = mx + b
[m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]
To find the slope, you use the slope formula:
And plug in the two points
(-6, 2) = (x₁ , y₁)
(1, 16) = (x₂ , y₂)
[two negatives cancel each other out and become positive]
m = 2 Now that you found m, plug it into the equation
y = mx + b
y = 2x + b To find b, plug in one of the points into the equation
(-6, 2)
y = 2x + b
2 = 2(-6) + b
2 = -12 + b Add 12 on both sides
14 = b
(1, 16)
y = 2x + b
16 = 2(1) + b Subtract 2 on both sides
14 = b
Now that you found b, plug it into the equation
y = 2x + 14
