Without graphing, tell whether the point (10, 37) is on the graph of y = 3x + 7.
1 answer:
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Answer:
⇒ answer 1
Step-by-step explanation:
* Lets explain how to find the inverse of a function
- To find the inverse of a function :
# Write y = f(x)
# Switch the x and y
# Solve to find the new y
# The new y is
* Lets solve the problem
∵ f(x) = 2x + 1
- Put y = f(x)
∴ y = 2x + 1
- Switch x and y
∴ x = 2y + 1
- Solve to find the new y
∵ x = 2y + 1
- Subtract 1 from both sides
∴ x - 1 = 2y
- Divide both sides by 2
∴ (x - 1)/2 = y
- Divide each term in the left hand side by 2
∴ y = 1/2 x - 1/2
- Replace y by
∴
* The inverse of the function is
Group A
Money spent by Person 1 = £500
Money spent by Person 2 = £600
Money spent by Person 3 = £900
Money spent by Person 4 = £450
Sum of money spent by group A = £2,450
Average money spent by group A =
⇒ Average money spent by group A = £612.5
Group B
Money spent by Person 1 = £700
Money spent by Person 2 = £500
Money spent by Person 3 = £680
Money spent by Person 4 = £500
Sum of money spent by group B = £2,380
Average money spent by group B =
⇒ Average money spent by group B = £595
Hence, Group B had lower average spend.