SOLUTION: This is a worksheet so i cant fill out the top. model each situation with a linear function and graph. is it reasonable to include negative numbers in the range? 1. a newly-s

Question 118844: This is a worksheet so i cant fill out the top.
model each situation with a linear function and graph. is it reasonable to include negative numbers in the range?
1. a newly-started high school hopes to enroll 80 students in its first year and to increase enrollment by 40 students per eyar over the next five years.
5. temperature on the Fahrenheit scale is a linear function of temperature on the Celsius scale. Ten degrees Celsius equals 50 degrees Fahrenheit, and 25 degrees Celsius equals 77 degrees Fahrenheit.
(the temperature one really confuses me.)
Thanks for taking your time on reading this!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1. a newly-started high school hopes to enroll 80 students in its first year and to increase enrollment by 40 students per year over the next five years.
Let y = no. of students
Let x = no. of years
:
y = 40x + 80; on the initial opening of the school x=0
:
Plot it from x = 0 to x = 5:
x | y
-------
0 | 80
1 | 120
5 | 280
:

:
Negative values for x are not valid since the school did not exist before x=0
Same with negative values for y, negative students
(However, the existence of negative students is a debatable point)
:
:
5. temperature on the Fahrenheit scale is a linear function of temperature on the Celsius scale. Ten degrees Celsius equals 50 degrees Fahrenheit, and 25 degrees Celsius equals 77 degrees Fahrenheit.
:
Recall the formula for converting temp: F = C + 32
:
Let x = C, and y = F
Plotting table using the given values:
x | y
-------
10 | 50
25 | 77
:

:
Negative values are certainly valid here, It's interesting that at -40 degrees
Celsius and Fahrenheit are equal
:
Did this help, any questions?

RELATED QUESTIONS
I don't understand this question on my homework. Help please! I need the linear... (answered by KMST)

Model each situation with a linear function and graph. Is it reasonable to include... (answered by ankor@dixie-net.com)

The weight of a bucket of golf balls is the function of the number of balls each of which (answered by richard1234)

iam not sure if this is linear and graphs or whatever! because my worksheet is mixed so i (answered by stanbon)

This is a discussion question in my class. I have seen how a few other students have... (answered by stanbon)

graph the set of data. decide whether a linear model is reasonable. if so, draw a trend... (answered by Fombitz)

The amount of time it takes a flame to go out in a closed contanier is a linear function... (answered by jojo14344)

can you help me. this is on a homework review shet i have and i cant figure it out.... (answered by Mathtut)

I apologize if this is in the wrong heading. My problem is systems of linear equation by... (answered by Alan3354,gonzo,jim_thompson5910)