I'm confused.

miss hartley students were working with their mix of raisins and peanuts the class found that 30% of the mix was raisins. sophie was working with the sample from the mix and counted 42 peanuts in it so he had just poured her simple back into the jar when she realize that she had counted the wrong thing her teacher wanted to know how many raisins were in the sample not peanuts

a. sophie knows that 30% is the same as . can this be thought of as a ratio? which two quantities are
being compared in this case? can you write another equivalent ratio representing the same comparison?
b. could sophie write a ratio comparing the number of raisins to peanuts? how could you figure out this
ratio without having to count the peanuts? discuss this with your team and be ready to explain your
thinking to the class.
c. find an equivalent ratio that will sophie figure out how many raisins should have been in her sample
that contained 42 peanuts.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

step-by-step explanation:

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