Answer:
The formula for exponential growth is f(x)=a(1+r)^x, where a is the initial amount/number, r is the growth rate, and x is the number of years/month/etc. The problem tells us that the initial area is 4500. Every year, it decreases by 7.25%, which is technically -0.0725. "t" is the time. Therefore, we plug in those values into the formula. Then, we have:
f(x) = 4500(1-0.0725)^t
f(x) = 4500(0.9275)^t.
In this question, you're trying to find the unit rate in which the teacher can grade tests.
A unit rate is another word for "rate of change".
This means that we have to find how many tests the teacher could grade in 1 minute.
To find the unit rate, divide 18 by 15
18 ÷ 15 = 1.2
This means that Mr. Rivera can grade 1.2 tests in 1 minute.
Answer:
1.2 tests
Hi! So for quadratics, anything that is inside the parentheses with x is considered a shift left or right. Since it is a negative 7, the graph is shifted 7 units to the right to make up for the y values.
Q)You are going to movies Friday night. which of the theaters will cost the least, if you intend to have soda and popcorn?
Theater A Theater B Theater C
Adults $6.25 $7.25 $5.25
Children $3.50 $3.75 $4.25
Soda $2.00 $2.00 $2.50
Popcorn $2.50 $2.00 $2.50
Answer:
Theater B will cost less.
Step-by-step explanation:
The question here does not tell how many adults and children are going so we will only calculate the price for soda and popcorn for the theaters above.
For Theater A:-
$2.00 + $2.50 = $4.5
For Theater B:-
$2.00 + $2.00 = $4
For Theater C:-
$2.50 + $2.50 = $5
Hence Theater B will cost less.
