Sharon wants to make a graph to show the relationship between the number of tickets sold and the price of tickets sold. she plots the following points:
(0, 0), (1, 20), (2, 40), (3, 60), (4, 80)
she uses the following steps to plot the graph:
label origin as (0, 0).
on x-axis, label number of tickets sold.
on y-axis, label price of tickets in dollars.
the scale on x-axis starts from 0 and goes up to 10 at intervals of 2.
the scale on the y-axis starts from 0 and goes up to 200 at intervals of 20.
which of the following best describes the graph?
it will not be spread out across the entire coordinate plane because in step 1, sharon selected an incorrect point as the origin.
it will not be spread out across the entire coordinate plane because in step 2, sharon plotted the dependent variable on the axis.
it will not be spread out across the entire coordinate plane because in step 3, sharon plotted the independent variable on the y-axis.
it will not be spread out across the entire coordinate plane because in step 4 and step 5, sharon selected incorrect scales on the axes.

Hi!

The correct answer is d) It will not be spread out across the entire coordinate plane because, in Step 4 and Step 5, Sharon selected incorrect scales on the axes.

Step-by-step explanation:

The ordered pairs of the data set on the x-axis, step up by 1. She needs to use a scale of 1 on the x-axis if she wants that the graph spread out across the entire coordinate plane.

So, to plot the graph correctly, in step 4 Sharon should do:

The scale on the x-axis starts from 0 and goes up to 10 at intervals of 1.

50-38=12

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)