Mathematics, 14.01.2022 01:50 carlybeavers50

Number 11 a, b, and c

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Answer from: iBrain

a. y = 10.25x - 60

b. $60

c. 6 hours

Step-by-step explanation:

To find slope of table we use rise/run aka change in y/change in x

Get two y values, and two x values, ex: (13,73.25),(40,350), now find the change in y and x respectively, (350-73.25)/(40-13) = 276.75/27 = 10.25The slope is 10.25, now we find the y-intercept or the amount of money she starts at, using the equation, y = mx+b, m being the slope, b being the y-intercept, y/x being the axes.We plug in a x,y value on the same row, along with the slope we just found. 350 = (10.25)(40) + b, 350 = 410 + b, b = -60.Therefore the equation is y = 10.25x - 60

To find the amount of money she spent on her uniform, we can look at the value she started with.

We find the y-intercept, which is already found in the previous question (a).The y-intercept or amount she payed for her uniform is $60

To find the amount hours, we can plug in values for y, to solve for x. 'y' is the axis for earnings, so if we set 'y' to 0, that would mean that 'x' amount of hours would make -60 become 0

Set up the equation: 0 = 10.25x-60Solve for x: 60 = 10.25x, x ~= 5.85 hoursNote that you have to round up to 6 hours because Erin is paid hourly, and working for only 5 hours is not enough, thus the answer would be 6 hours.

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies

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Number 11 a, b, and c
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