the speed is [tex]135[/tex]miles per hour > is false
step-by-step explanation:
we know that
a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
the graph shown in the figure represent a direct variation
the slope of the line represent the speed
[tex]y/x=k[/tex]
for the point [tex](1.5,90)[/tex]
substitute the values of x and y
[tex]k=90/1.5=60\ miles/hour[/tex]
the linear equation is equal to
[tex]y=60x[/tex]
statements
case a) it takes [tex]2[/tex] hours to go [tex]120[/tex]miles
the statement is true
because
substitute
for [tex]x=2[/tex]
find the value of y in the linear equation
[tex]y=60(2)=120\ miles[/tex] > is correct
case b) the speed is [tex]135[/tex]miles per hour
the statement is false
because the speed is [tex]60\ miles/hour[/tex]
case c) the unit rate for the trip is [tex]60\ miles/hour[/tex]
the statement is true
because the speed is equal to the slope of the linear equation
case d) it took [tex]20[/tex] minutes to go the first [tex]20[/tex]miles
Ummm ok. for informing us
[tex]Got a second account cause my old one annarose61 was deleted[/tex]
Answer:
the image is given below
step-by-step explanation:
since the options are not given so we draw it from the equation
the given equation is
y = (x-1) (x+4)
y = y² + 3x - 4
the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this
the speed is [tex]135[/tex]miles per hour > is false
step-by-step explanation:
we know that
a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
the graph shown in the figure represent a direct variation
the slope of the line represent the speed
[tex]y/x=k[/tex]
for the point [tex](1.5,90)[/tex]
substitute the values of x and y
[tex]k=90/1.5=60\ miles/hour[/tex]
the linear equation is equal to
[tex]y=60x[/tex]
statements
case a) it takes [tex]2[/tex] hours to go [tex]120[/tex]miles
the statement is true
because
substitute
for [tex]x=2[/tex]
find the value of y in the linear equation
[tex]y=60(2)=120\ miles[/tex] > is correct
case b) the speed is [tex]135[/tex]miles per hour
the statement is false
because the speed is [tex]60\ miles/hour[/tex]
case c) the unit rate for the trip is [tex]60\ miles/hour[/tex]
the statement is true
because the speed is equal to the slope of the linear equation
case d) it took [tex]20[/tex] minutes to go the first [tex]20[/tex]miles
the statement is true
because
substitute
for [tex]x=20\ minutes=(1/3)\ hour[/tex]
find the value of y in the linear equation
[tex]y=60(1/3)=20\ miles[/tex] > is correct
What's the denominator