Mathematics, 20.08.2019 22:20 sparklegrace9726

Which equation matches the table of values? x y 0 1 1 2 3 y = 4x y = x4 y = x y = 4x

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Answer from: Quest

Set up a system of equations

Answer from: Quest

Do you have a picture? ?

Answer from: Quest

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max. it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to. the number combination of adults (x) and campers (y) cannot exceed this 525 max. therefore:

x + y ≤ 525

now we talk about cost. it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults. same with the campers, who cost $5 to feed. the adults can be represented by 9x and the campers can be represented by 5y. since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200

Answer from: Quest

the speed is $135$ 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 $y/x=k$ or $y=kx$

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

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

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Which equation matches the table of values? x y 0 1 1 2 3 y = 4x y = x4 y = x y = 4x...