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Burro Travel Bureau arranges trips for descending into the Grand Canyon. For each trip, they charge an initial fee of 
$25 in addition to 
$0.10 for each vertical meter they descend.
Let 
y represent the fee (in dollars) of a trip where they descended 
x vertical meters.
Which of the following information about the graph of the relationship is given?
Choose 1 answer:
(A) Slope and 
x-intercept
B Slope and 
y-intercept
(C) Slope and a point that is not an intercept
(D) 
x-intercept and 
y intercept
(E) 
y-intercept and a point that is not an intercept
(F) Two points that are not intercepts

Burro Travel Bureau arranges trips for descending into the Grand Canyon. For each trip, they charge an initial fee of $25 \$ 25 in addition to $0.10 \$ 0.10 for each vertical meter they descend.\newlineLet y y represent the fee (in dollars) of a trip where they descended x x vertical meters.\newlineWhich of the following information about the graph of the relationship is given?\newlineChoose 11 answer:\newline(A) Slope and x x -intercept\newline(B) Slope and y y -intercept\newline(C) Slope and a point that is not an intercept\newline(D) x x -intercept and y y intercept\newline(E) y y -intercept and a point that is not an intercept\newline(F) Two points that are not intercepts

Full solution

Q. Burro Travel Bureau arranges trips for descending into the Grand Canyon. For each trip, they charge an initial fee of $25 \$ 25 in addition to $0.10 \$ 0.10 for each vertical meter they descend.\newlineLet y y represent the fee (in dollars) of a trip where they descended x x vertical meters.\newlineWhich of the following information about the graph of the relationship is given?\newlineChoose 11 answer:\newline(A) Slope and x x -intercept\newline(B) Slope and y y -intercept\newline(C) Slope and a point that is not an intercept\newline(D) x x -intercept and y y intercept\newline(E) y y -intercept and a point that is not an intercept\newline(F) Two points that are not intercepts
  1. Write Equation: The first step is to write the equation that represents the fee for a trip based on the number of vertical meters descended. The initial fee is $25\$25, and the additional charge is $0.10\$0.10 per vertical meter. Therefore, the equation is:\newliney=0.10x+25y = 0.10x + 25
  2. Identify Slope and Y-Intercept: Next, we identify the slope and y-intercept from the equation. The slope is the coefficient of xx, which is 0.100.10. The y-intercept is the constant term, which is 2525. This means that when xx is 00 (no vertical meters descended), the fee yy is $25\$25.
  3. Determine Given Options: Now, we need to determine which of the given options (A-F) correctly describes the information we have about the graph of the relationship. We have the slope 0.100.10 and the y-intercept 2525. We do not have the x-intercept, nor do we have two distinct points that are not intercepts.
  4. Select Correct Answer: The correct answer is the one that states we know the slope and the yy-intercept. This corresponds to option (B).

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