1) For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y
10 15
16 24
20 30

a) yes; y=1.5x
b) yes; y=2x
c) yes; y=x+5
d) y does not vary directly with x

2) Same as above.

x y
16 4
32 16
48 36

a) yes; y=2x
b) yes; y=4x
c) yes; y=8x
d) no; y does not vary directly with x

Thank you!

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boxplot

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.