Mathematics, 20.11.2021 07:50 manaisialockhart12

The total cost of renting a banquet hall is a function of the number of hours the hall is rented. The owner of the banquet hall charges $170 per hour up to a maximum of 4 hours plus a $50 cleaning fee. What is the greatest value in the range for this situation

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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

Answer from: Quest

It is a trinomial with a degree of 2 i believe

Answer from: Quest

93-8=85

855=17

17*4=68

there are 68 purple marbles in that bag

Answer from: Quest

the given growth function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where

m = months

at the end of the study, the length is 9.19 cm. the time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period of about 1.72 months. therefore the domain for plotting the function is 0 < = m < = 1.72.

note:

if growth continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.

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