Sophia wrote an equation to represent the revenue of a movie theater for one day. She let x represent the number of child tickets sold and y represent the number of adult tickets sold. If a child ticket costs $4, an adult ticket costs $6, and the total revenue for the day was $420, which equation could Sophia use to represent the number of child and adult tickets that were sold?
6 x + 4 y = 420
4 x + 6 y = 420
4 x + 6 y = 840
6 x + 4 y = 840
4x + 6y = 420
Which statements accurately describe how to determine the y-intercept and the slope from the graph below?
On a coordinate plane, a line goes through points (0, negative 6) and (3, 0).
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
Jalen is computing the slope of the line on the graph below.
On a coordinate plane, a line goes through points (negative 4, 0) and (2, 3).
Step 1: (–4, 0) and (2, 3)
Step 2: StartFraction negative 4 minus 2 Over 0 minus 3 EndFraction
Step 3: StartFraction negative 6 Over negative 3 EndFraction
Step 4: The slope is 2.
Which statement describes Jalen’s error?
Jalen computed the ratio of change in x to change in y.
Jalen used the ordered pairs in the wrong order.
Jalen made a computational error.
Jalen used an ordered pair that is not on the line.Jalen is computing the slope of the line on the graph below.
On a coordinate plane, a line goes through points (negative 4, 0) and (2, 3).
Step 1: (–4, 0) and (2, 3)
Step 2: StartFraction negative 4 minus 2 Over 0 minus 3 EndFraction
Step 3: StartFraction negative 6 Over negative 3 EndFraction
Step 4: The slope is 2.
Which statement describes Jalen’s error?
Jalen computed the ratio of change in x to change in y.
Jalen used the ordered pairs in the wrong order.
Jalen made a computational error.
Jalen used an ordered pair that is not on the line.
Jalen made a computational error.
Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).
On a coordinate plane, a line goes through points (negative 1, 2) and (0, negative 1).
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
Which point on the graph represents the y-intercept?
On a coordinate plane, a line goes through points V (negative 4, 4), W (0, 2), Y (2, 1), Z (4, 0).
V
W
Y
Z
W
Four students graphed one linear function each.
Rhett
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 1).
Cameron
On a coordinate plane, a line goes through points (0, 4) and (1, 0).
Ellis
On a coordinate plane, a line goes through points (0, negative 4) and (2, 0).
Braden
On a coordinate plane, a line goes through points (0, 1) and (4, 0).
Which student graphed a linear function with a y-intercept at –4?
Rhett
Cameron
Ellis
Braden