Answer:
The computer loses 50%, percent of its value each year.
Step-by-step explanation:
See the graph attached.
A computer is sold for a certain price and then its value changes exponentially over time.
It is clear from the graph that at t = 0, the price was $500, then at t = 1 year, the price was $250 and at t = 2 years, the price was $125 and at t= 3 years, the price was $62.5 and so on.
Therefore, the computer loses 50%, percent of its value each year. (Answer)
Answer:
a) not proportional
b) proportional; k = 
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
If you multiply the dark inside one and the outside one then add them up it will give you the answer!<span />
First, we know that when multiplying fractions, we multiply both the numerator and denominator.
so, in 4/9 • 4/5,
4•4 = 16, and
9•5 = 45
so, 4/9 • 4/5 = 16/45.
now, we’ll look for the Least Common Factor
factors are numbers that you can multiply together to = another number.
the LEAST common Factor is the # that is smallest that you can divide both numbers by, in an equation and get a whole number.
for instance, 3•3 and 1•9 are the only ways to get 9, so, the factors are 1, 3, 9
let’s look for the LCF in 16 and 45. -
if we find the ways to get 16, we have:
1•16, 2•8, and 4•4
so, the factors are 1, 2, 4, 8, and 16.
this is called FACTORING :)
the ways to get 45 are...
1•45, 3•15, and 5•9, so the FACTORS are
1, 3, 5, 9, 15, & 45.
- compare the factors of 16 & 45,
none of them are the same besides 1, and we know that dividing these numbers by 1 will not do anything.
because of this, we can not reduce 16/45, so the reduced answer to 4/9 • 4/5 = 16/45
