Question

if a sample of a certain gas is heated.it will expand.the formula v(t)=0.175T+50 calculates the volume in cubic inches of a sample of gas temperture T in degrees celsuis.

a)evaluate v(o) and interpret the result.
b)if the temperature increases by 10 degrees celsuis. by how much does the volume increase?
c) what is the volume of the gas when the temperature is at 100 degrees celsius?

Answer 1

v(0) is asking for the initial volume. What do you get if you plug in 0 for T?

Answer 2

0?

Answer 3

no, what does the right side of the equation simplify to?
v(0)=0.175(0)+50

Answer 4

50?

Answer 5

yes

Answer 6

so the initial volume is 50 cubic inches

Answer 7

sorry that's not the initial volume. It's the volume at 0 degrees celsius

Answer 8

for B) there are 2 steps. First plug in 10 for T to get the volume at 10 °C

Answer 9

im not sure how to do that i'm very sorry

Answer 10

Start with your formula
v(t)=0.175T+50
Replace T with 10
v(10)=0.175(10)+50
Now what do you get for the right side?

Answer 11

51.75?

Answer 12

yes. the next step is to subtract the 50 you got from part A, since they want the increase. So do 51.75 - 50

Answer 13

1.75

Answer 14

right

Answer 15

For C, plug in 100 for T
T(100) = 0.175(100) + 50

Answer 16

67.5?

Answer 17

yes

Answer 18

so the answer is 67.5?

Answer 19

yes

Answer 20

if i could give you more medals i would :-)

Answer 21

thank you very much

Answer 22

:) you're welcome

Answer 23

the computer said the answer was wrong

Answer 24

it said it was 50 not 67.5