Given that (8,4) is on the graph of f(x), find the corresponding point for the function f(4x).

2 answers:

8 0

The given point is (8,4) which means we know f(8) = 4.

We don't know any outputs for f(4x) other than the output of 4 which was stated with f(8) = 4. So f(4x) = 4 for some input x. In order for 4x to be equal to 8, that x value must be 2.

f(4x) = f(8)
f(4*2) = f(8)

So the point (2,4) is on the graph of f(4x)
Plugging in x = 2 leads to f(4x) = f(4*2) = f(8) = 4

LekaFEV [45]3 years ago

5 0

$\bf \stackrel{f(x)}{(8~~,~~4)}\qquad \qquad \qquad \stackrel{f(4x)}{(4(8)~~,~~4)}\implies (32,4)$

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Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original pri

ivolga24 [154]

Answer: they sold 25 at the original price they sold 66 at the reduced price.

Step-by-step explanation:

Let x represent the number of pottery that they sold at the original price.

Let y represent the number of pottery that they sold at the reduced price.

They sold a total of 91 pieces of pottery. This means that

x + y = 91

They sold some of their pottery at the original price of $ 13.50 each, but later decreased the price of each by $3.00. The reduced price would be 13.5 - 3 = $10.5

If they made $1030.5 in total, it means that

13.5x + 10.5y = 1030.5 - - - - - - - - - 1

Substituting x = 91 - y into equation 1, it becomes

13.5(91 - y)+ 10.5y = 1030.5

1228.5 - 13.5y + 10.5y = 1030.5

- 13.5y + 10.5y = 1030.5 - 1228.5

- 3y = - 198

y = - 198/ - 3

y = 66

x = 91 - y = 91 - 66

x = 25

3 0