Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
9514 1404 393
Answer:
(c) $72
Step-by-step explanation:
Each tile is 8/12 ft = 2/3 ft on a side. Then 8/(2/3) = 12 tiles will fit along each edge of the square area to be tiled. That is ...
12 × 12 = 144
tiles will be needed to cover the area.
The cost of 144 tiles at $0.50 each is ...
(144)($0.50) = $72.00
C(t) = $2t + $8
This tells us that the basic cost of the pizza is $8, with no toppings, and that each topping costs an additional $2.
To graph this, plot a dot at (0,$8). Now move y our pencil point 1 unit to the right and then 2 units up. Plot a dot at this new location. Now draw a straight line connection (0, $8) and this new location (which is (1, $10) ).
Answer: y = 8x
Step-by-step explanation:
It shall be the letter ........b
