Question

A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer’s value?

SOMEONE HELP PLS, YOU’LL GET FREE EASY POINTS IF THE ANSWER IS RIGHT!!!!

Answer 1

A

Explanation:

After x year, computer's value will be (1/2)^x

So the graph has to exponentially decreasing.

Both A and B show decreasing value but B is linear. So B is incorrect

C and D show increasing value so they are both incorrect.

Answer 2

Let's first consider: the fact that a new computer loses 1/2 of its value

⇒ third choice and fourth choice are eliminated

⇒ because of the graph project the computer's value as growing over

years

Now let's try to set up an equation:

After 1st year ⇒ Computer's value =
`total_.value*(1)/(2)`

After 2nd year ⇒ Computer's value =
`total_.value*(1)/(2)*(1)/(2)=total_.value*((1)/(2) )^2`

After 3rd year ⇒ Computer's value =
`total_.value*(1)/(2)*(1)/(2)* (1)/(2)=total_.value*((1)/(2))^3`

..... (Hopefully you see a pattern)

After x year ⇒ Computer's value =
`total_.value*((1)/(2))^x`

Therefore, the equation is:
`total_.value*((1)/(2))^x`

⇒that means the graph has to exponentially decreasing as it has

an exponent (meaning the function is exponential) and a base less

than 1 (meaning that the function is decreasing)

Answer: Choice (1)

Hope that helps!