3x+10=4x+10 what is the answer?
2 answers:
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Answer: Option D
Step-by-step explanation:
If we have a function f(x), then the graph of can be shifted upwards k units using the transformation
.
Where k is a positive number.
In this problem the function f(x) is:
This function has its intercept with the y-axis in y = 1
Then, the graph of g(x) is equal to the graph of f(x) shifted 1 unit up and cuts to the y axis in y = 2.
Therefore g(x) is equal to the function f(x) after the transformation
So:
Answer:
Equation: 1.50x + 10 34
Amount of rides Dan can go on: 16 rides
Step-by-step explanation:
We can represent this situation using this equation:
1.50x + 10 34
The $10 Dan has to pay as admission is the fixed number because it doesn't vary and always remains the same, so no x goes next to 10.
Each ride costs $1.50 so this is the variable number as it changes with how many rides Dan goes on, therefore an x will go next to 1.50 to represent the amount of rides Dan goes on.
Lastly, Dan has $34 to spare, so the amount spent has to be less than or equal 34.
Solve the equation for x to find the greatest amount of rides Dan can go on:
1.50x + 10 34 Subtract 10 from 34
1.50x 24 Divide 24 by 1.50
x 16
So, Dan has enough money to go on 16 rides or less.
Let's check this answer:
1.50(16) + 10 34 Multiply 1.50 by 16
24 + 10 34 Add 24 and 10
34 34
Hope this helps! Good luck and if you have any questions let me know in the comments!