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Kruka [31]
2 years ago
5

Match each table of data below with the most appropriate graph and briefly explain why it matches the data

Mathematics
1 answer:
Stells [14]2 years ago
8 0

Answer:

Table a match with  Graph 3

Table b match with Graph 2

Table c match with Graph 4

Step-by-step explanation:

<u>Table a</u>

Time is plotted on x - axis and Temp on y axis

From table a we can see that the y values(temp) decrease with increasing time. The only graph that has a decreasing trend is Graph 3

<u>Table b</u>

Time plotted on x axis, cost on y axis

Looking at the values we see that they are almost linear except for 2 values  at x = 2 and 2.5 and at y = 5 and 5.3.

Ignoring values 2.5 and 5.3 we see a linear fit with a slope of 20. This means either graph 1 or graph 2

However, the graph passes through (0,0) and this is not a set of values in the table. That leaves graph 2

<u>Table c</u>

Months plotted on x axis and length of fetus on the y axis

We can see that the y values (the length) increases slowly at lower values of x(x=1 and x=2) and then increase rapidly at the mid values(x = 2 thru 6) and then slows  down  between months 6 and 9. Only Graph 4 fits this pattern

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muminat
Select all the correct answers:
1) Yes

2) No
x=8→h(8)=2(8)^2+5(8)+2=2(64)+40+2=128+40+2→h(8)=170
x=8→f(8)=3^8+2=6,561+2→f(8)=5,563>170=h(8)

3) Yes

4) No

5) Yes
rg=[g(3)-g(2)]/(3-2)=[g(3)-g(2)]/1→rg=g(3)-g(2)
g(3)=20(3)+4=60+4→g(3)=64
g(2)=20(2)+4=40+4→g(2)=44
rg=64-44→rg=20

rf=f(3)-f(2)
f(3)=3^3+2=27+2→f(3)=29
f(2)=3^2+2=9+2→f(2)=11
rf=29-11→rf=18

rh=h(3)-h(2)
h(3)=2(3)^2+5(3)+2=2(9)+15+2=18+15+2→h(3)=35
h(2)=2(2)^2+5(2)+2=2(4)+10+2=8+10+2→h(2)=20
rh=35-20→rh=15

rg=20>18=rf
rg=20>15=rh

6)  No
x=4→g(4)=20(4)+4=80+4→g(4)=84
x=4→h(4)=2(4)^2+5(4)+2=2(16)+20+2=32+20+2→h(4)=54
x=4→f(4)=3^4+2=81+2→f(4)=83>54=h(4)
f(4)=83<84=g(4)
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