A.
B and C are wrong because x is more than or equal to 3.
D is wrong because y is the weight of oranges and cannot be negative.
We need to first find a common denominator. This means that we need the 12 and the 3 to be the same number. We can change the 1/3 into 4/12 and see that 9/12 is larger than 4/12.
1.7a + 0.3a = 0.8;
(1.7 + 0.3)a = 0.8;
2 x a = 0.8;
a = 0.8 ÷2;
a = 0.4;
( - 45, 0)
to find the x-intercept let y = 0 in the equation
x = 0 →
x = - 15
multiply both sides by 3
x = 3 × - 15 = - 45
x-intercept = ( - 45, 0)
I can't see how any of those formulas show exponential decay. (Did you type those correctly?)
The formula that will show the remaining amount correctly is:
ending amount = Bgng Amount / 2^n
where "n" is the number of haf-lives.
So, for example if half life = 4 hours and if we want to calculate the amount after 9 hours (that's 2.25 half-lives) then:
ending amount = Bgng Amount / 2^n
ending amount = 50 / (2^(9/4))
ending amount = 50 / 2^2.25
ending amount =
50 / <span><span><span>4.75682846
</span>
</span></span><span><span>ending amount =
</span>
10.5112 grams
</span>Looking at the graph, we see that's about right.