The exponential function f(x) = 2(4)x increases more quickly than the linear function f(x) = 3x + 4.
1 answer:
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9514 1404 393
Answer:
x-intercept: 7/6
Step-by-step explanation:
The x-intercept is found by solving for x when y=0.
0 = 6x -7
7 = 6x . . . . . add 7 to both sides of the equation
7/6 = x . . . . divide both sides by 6
The x-intercept is 7/6 = 1 1/6 ≈ 1.167.
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The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.
Answer:
Function:
Amount earned for 10 hours of work:
Step-by-step explanation:
Let be "x" the number of hours worked on a project and "y" the total amount Luigi charges for a project.
Based on the data given in the exercise, you can identify that:
- $140 is a fixed amount.
- For each hour worked on the project, Luigi charges $25. This can be expressed as:
Then, the total amount he charges for a project is the sum of $140 and . This can be represented with the following function:
To calculate the amount of money earned for 10 hours of work, you must substitute into the function and evaluate. Then: