Question

Solve:
1. You are assigned to help sanitize the school. The amount y (in gallons) of chlorine remaining
in a chlorine tank after disinfecting x hours is y = - 4x + 16.
a. Determine the x and y intercept.
b. How many hours have passed if there are 3 gallons left?
2. You are downloading a movie in a Torrent Software. The percent y ſin decimal form) of
megabytes remaining to download after x minutes is y = -0.3x + 2.
Find the x and y intercepts.
plz answer this ASAP ​

Answer 1

Answer:

1.) a. Let × be zero, then we can get the y intercept is 16. And let y be zero, then we can get the × intercept is 4.

b. According to the question, there are 3 gallons left means y=3. So 3=4×+16=)× =13/4, Hence, 13/4 hours have passed if there are 3 gallons left.

2.) Let × be zero, then we can get the y intercept is 2. Let y be zero, then we can get the × intercept is 20/3.

Answer 2

Given:

1. You are assigned to help sanitize the school. The amount y (in gallons) of chlorine remaining in a chlorine tank after disinfecting x hours is y = - 4x + 16.  

2. You are downloading a movie in a Torrent Software. The percent y ſin decimal form) of megabytes remaining to download after x minutes is y = -0.3x + 2.

To find:

1. a. The x and y intercept.

  b. How many hours have passed if there are 3 gallons left.

2. The x and y intercepts.

Solution:

1.

a.

In order to find the x-intercept, the y in the equation which is given in the question is substituted as zero.

$y = -4x+16$

$0 = -4x+16$

$x = 4$

Hence, the x-intercept is 4. Similarly, the y-intercept is calculated by replacing x with 0 in the equation.

$y = -4(0)+16$

$y =16$

Hence, the y-intercept is 16.

b.

According to the question, x indicates the time in hours and y indicates the amount of chlorine in gallons. Now, if there are 3 gallons left, we must substitute 3 for y and solve for x.

$y = -4x+16$

$3 = -4x+16$

$x = 3.25$

   $= 3 hours 15 minutes$

Hence, 3 hours and 15 minutes have passed.

2.

The given equation is written as follows.

$y = -0.3x + 2$

The x-intercept is calculated as follows.

$0 = -0.3x + 2$

$x = 6.67$

The y-intercept is calculated as follows.

$y = -0.3(0) + 2$

$y = 2$

Therefore,

1. a. The x and y intercepts are 4 and 16, respectively.

   b. 3 hours and 15 minutes have passed if there are 3 gallons left.

2. The x and y intercepts are 6.67 and 2, respectively.