The scale factor from Figure A to Figure B is 4
<h3>How to determine the
scale factor from Figure A to Figure B?</h3>
From the question, we have the following statement:
Figure B is a scaled copy of Figure A.
The corresponding side lengths of figure A and figure B are:
Figure A = 10
Figure B = 40
The scale factor from Figure A to Figure B is then calculated as:
Scale factor = Figure B/Figure A
Substitute the known values in the above equation
Scale factor = 40/10
Evaluate the quotient
Scale factor = 4
Hence, the scale factor from Figure A to Figure B is 4
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The number of paychecks Jalen will have to save until he can purchase the laptop is 6
<h3>How many paychecks will Jalen have to save until he can purchase the laptop? </h3>
<u>Define your variable</u>
To do this, we use the following variables
- x represents the number of paychecks
- y represents the cost of the laptop
<u>Set up an equation, and solve it.</u>
In (a), we have:
- x represents the number of paychecks
- y represents the cost of the laptop
Using the above variables, the equation is:
y = 200 + 50x
The cost of the laptop is $500.
So, we have:
200 + 50x = 500
Evaluate the like terms
50x = 300
Divide by 50
x = 6
Hence, the number of paychecks Jalen will have to save until he can purchase the laptop is 6
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I think the answer would be A. I hope this helps. But i am not that sure
Answer:
f(x) = 2·3^x
Step-by-step explanation:
We have the general equation of exponential functions as
y= a*b^x
We are given that the point (0,2) is on the graph so
when x= 0, y= 2
If we substitute in the general equation we see that
2 = a*b^0, any number to the power 0 is 1
2 = a
We were also given that point (1, 6 ) is on the graph;
If we substitute in our new found equation we see that
y=2·b^x
6 = 2·b^1 , any number to the power 1 is itself and
divide both sides by 2
3 = b
f(x) = 2·3^x
