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Mathematics, 04.12.2019 05:31 nigdrew123

Arestaurant sells tea for $1.50 plus $0.05 per refill a gas station store sells tea for $0.50 plus $0.50 per refill?

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Answers: 2

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Answer from: audreymarie2940

Part a) y=0.05x+1.50

Part b) y=0.50x+0.50

Part c) The graph in the attached figure

Part d) see the explanation

Step-by-step explanation:

The complete question is

A restaurant sells tea for $1.50 plus $0.05 per refill. A gas station store sells tea for $0.50 plus $0.50 per refill.

Part a) Write a linear function for the price of tea at restaurant

Part b) Write a linear function for the price of tea at gas station store

Part c) Graph both equations

Part c) Compare the lines in terms of slope and y-intercept

Let

y -----> the price of tea in dollars

x -----> the number of refills

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value (value of y when the value o x is equal to zero)

Part a)

At restaurant

we have that

The slope or unit rate is equal to

$m=\$0.05\ per\ refill$

The initial value or y-intercept is equal to

$b=\$1.50$

substitute

y=0.05x+1.50

Part b)

At gas station store

we have that

The slope or unit rate is equal to

$m=\$0.50\ per\ refill$

The initial value or y-intercept is equal to

$b=\$0.50$

substitute

y=0.50x+0.50

Part c) Graph both equations

we know that

The easiest way to graph a line is with two points

Find the intercepts of the line

At restaurant

y=0.05x+1.50

The y-intercept is the point (0,1.50)

The x-intercept is the value of x when the value of y is equal to zero

For y=0

0=0.05x+1.50

x=-30

The x-intercept is the point (-30,0)

Plot the points and join to graph the line

see the attached figure

At gas station store

y=0.50x+0.50

The y-intercept is the point (0,0.50)

The x-intercept is the value of x when the value of y is equal to zero

For y=0

0=0.50x+0.50

x=-1

The x-intercept is the point (-1,0)

Plot the points and join to graph the line

see the attached figure

Part c) Compare the lines in terms of slope and y-intercept

The slope or unit rate at the restaurant is less than the slope at the gas station store

$\$0.05\ per\ refill < \$0.50\ per\ refill$

The initial value or y-intercept at the restaurant is greater than the initial value at the gas station store

$\$1.50 \$0.50$

Arestaurant sells tea for $1.50 plus $0.05 per refill a gas station store sells tea for $0.50 plus $

ansver

Answer from: Quest

idk

step-by-step explanation:

The vector 6,-5 is reflected across the y=x and the resulting matrix is dilated by a scale of -1.5

ansver

Answer from: Quest

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )
Ineed as soon as possible ! what is the approximate length of the minor arc de

Ineed as soon as possible ! what is the approximate length of the minor arc de

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