for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)
for every x greater than zero, use the second line to determine the value
hope this helps and gives some insight what to do.
if there are open questions left, feel free to ask them in the comments
have a beautiful day
-Alex
X-doubling periods
Y-height of bamboo
Y=ab^x
1) make a table of values
X Y
1 5
2 10
3 20
2) write equations and substitute
5=ab^1 —> a=5/b^1 —> a=5/b
10=ab^2
Substitute into second equation
10=(5/b)*b^2
10=5b^2/b
10=5b
b=2
Substitute back in
b=2
10=a*2^2
10=4a
a=5/2
End equation:
Y=5/2*2^x
x = - 36
multiply both sides of the equation by - 2
x = (- 2)× 18 = - 36
Gallon of milk: $3.49
3lbs oranges: $1.14(3) = $3.42
Box of cereal: $3.46
Front end estimation is taking the number in front and the rest of the numbers coming after it will be zeroes.
Using front end estimation:
$3.49 => $3.00
$3.42 => $3.00
$3.46 => $3.00
Add all these up; Shen estimated the total cost of the groceries would be $9.00.
Answer:
y=x+20
Step-by-step explanation:
