Answer:
(3, 3) × 13 = (39, 39)
(0, 3) × 13 = (0, 39)
(6, -6) × 13 = (78, -78)
(9, 6) × 13 = (117, 78)
Step-by-step explanation:
Because the center of dilation is at (0, 0), or the origin, we can just multiply the x and y values of each point by the scale factor of 13.
(3, 3) × 13 = (39, 39)
(0, 3) × 13 = (0, 39)
(6, -6) × 13 = (78, -78)
(9, 6) × 13 = (117, 78)
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Answer:
40
Step-by-step explanation:
We have an original price p
We mark them up by 50%
p + p*50%
Changing to decimal form
p+.50p = 1.5p
The new price is 60 dollars
1.5p = 60
Divide each side by 1.5
1.5p/1.5 = 60/1.5
p =40
The original price is 40
Since the price is increasing by percentage, rather than a constant rate, we will be using the exponential equation format, which is y=ab^x (a = initial value, b = growth/decay)
Since the value was $590 in the year 2000, 590 will be our a variable.
Since the value is *increasing* by 35%, add 1 and 0.35 (35% in decimal form) together to get 1.35. 1.35 is going to be your b variable.
Putting our equation together, our equation is f(x) = 590(1.35)^x
