The width, length, and height of a rectangular prism are each increased by 10% . What is the percent increase in the volume of the prism? Express your answer to the nearest whole number.

waffles
Nov 10, 2017

#3**+1 **

**1. Find the Slope**

Finding the slope is relatively simple once you remember the formula. For me, I could not memorize any formulas unless I put them in words. I remember this formula as the ratio of the difference in y-values to x-values, if that helps. Anyway, here is the formula.

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{y_2-y_1}{x_2-x_1}\) | Now, plug in the coordinates into their respective positions in the formula. |

\(m=\frac{5+16}{4+3}\) | Simplify the value of the slope completely. |

\(m=\frac{21}{7}=3\) | |

Now that the slope has been determined, one can move on to the next step.

**2. Plug in a Coordinate for X and Y to Solve for B.**

We now know the slope, so the equation of the line is now \(y=3x+b\). Based on the given info, we know that both Cartesian coordinates, (-3,-16) and (4,5) lie on this line. Substitute one point in its place for x and for y to findt he answer.

\(y=3x+b\) | I will substitute the second point, \((\textcolor{red}{4},\textcolor{blue}{5})\) in the equation. It does not matter which point one chooses to substitute in. |

\(\textcolor{blue}{5}=3*\textcolor{red}{4}+b\) | Notice how the substitution replaces the coordinate. Now, solve for b. |

\(5=12+b\) | Subtract 12 from both sides to isolate b. |

\(b=-7\) | |

**3. Write the Final Equation**

Now that the only two necessary items, m and b, have been solved for, write the equation in y=mx+b format.

m=3

b=-7

\(y=3x-7\)

You are done now!

TheXSquaredFactor
Nov 11, 2017

#1**+2 **

V =W x H x L

V =1.1 x 1.1 x 1.1

V =1.331 - 1 x 100 =**33.1%=~33%. No matter what dimensions you choose for W, H, L, if you increase them ALL by 10%, the increase in volume will always be 33.1%.**

Guest Nov 10, 2017

#2**0 **

Find the equation of the line passing through the points (-3, -16) and (4,5). Enter your answer in "y=mx+b" form.

waffles
Nov 10, 2017

#3**+1 **

Best Answer

**1. Find the Slope**

Finding the slope is relatively simple once you remember the formula. For me, I could not memorize any formulas unless I put them in words. I remember this formula as the ratio of the difference in y-values to x-values, if that helps. Anyway, here is the formula.

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{y_2-y_1}{x_2-x_1}\) | Now, plug in the coordinates into their respective positions in the formula. |

\(m=\frac{5+16}{4+3}\) | Simplify the value of the slope completely. |

\(m=\frac{21}{7}=3\) | |

Now that the slope has been determined, one can move on to the next step.

**2. Plug in a Coordinate for X and Y to Solve for B.**

We now know the slope, so the equation of the line is now \(y=3x+b\). Based on the given info, we know that both Cartesian coordinates, (-3,-16) and (4,5) lie on this line. Substitute one point in its place for x and for y to findt he answer.

\(y=3x+b\) | I will substitute the second point, \((\textcolor{red}{4},\textcolor{blue}{5})\) in the equation. It does not matter which point one chooses to substitute in. |

\(\textcolor{blue}{5}=3*\textcolor{red}{4}+b\) | Notice how the substitution replaces the coordinate. Now, solve for b. |

\(5=12+b\) | Subtract 12 from both sides to isolate b. |

\(b=-7\) | |

**3. Write the Final Equation**

Now that the only two necessary items, m and b, have been solved for, write the equation in y=mx+b format.

m=3

b=-7

\(y=3x-7\)

You are done now!

TheXSquaredFactor
Nov 11, 2017