Question

algebra 3 - lesson 1 hw 1
examine each equation below. if one is not in slope - intercept form, please convert it and circle your final equation. if it is in slope - intercept form, put a check mark.

1. (y=\frac{2}{3}x - 3)
2. (6x-4y = 10)
3. (-7x + 3y=33)
4. (2x^{2}+3x + y=7x + 2x^{2})
5. (y = 6)
6. (-3(y - 7)=4(x + 2))
7. (x^{2}+4x-2y=x^{2}+3y + 2x + 1)

answer the questions below based on the written description.

1. the gallons of water in a water parks drench bucket is described by the function (w(m)=45m), where (m) is time in minutes.

a) how full is the bucket after 6 minutes and 30 seconds?
b) the bucket tips over when it has 540 gallons in it. after how many minutes will it tip?

Explanation:

Step1: Convert time to minutes

6 minutes and 30 seconds is 6.5 minutes since 30 seconds = 0.5 minutes.

Step2: Substitute into the function for part a

We have the function $W(m)=45m$. Substitute $m = 6.5$ into it. So $W(6.5)=45\times6.5=292.5$ gallons.

Step3: Solve for $m$ in part b

Set $W(m)=540$. So $45m = 540$. Then $m=\frac{540}{45}=12$ minutes.

Answer:

a) 292.5 gallons
b) 12 minutes