Ancy wants to make a graph to show the relationship between the temperature of water, in degrees celsius, and the time, in seconds, for which water is heated. she plots the following points:

(0, 50), (1, 60), (2, 70), (3, 80), (4, 90)

she uses the following steps to plot the graph:

label origin as (0, 0).
on x-axis, label time in minutes.
on y-axis, label temperature in degrees celsius.
the scale on x-axis starts from 0 and goes up to 5 at intervals of 1.
the scale on the y-axis starts from 0 and goes up to 200 at intervals of 50.

which of the following best describes the graph?

a. it will not be spread out horizontally across the entire coordinate plane because in step 4, nancy selected an incorrect scale on the axis.
b. it will not be spread out vertically across the entire coordinate plane because in step 5, nancy selected an incorrect scale on the y-axis.
c. it will not be spread out horizontally across the entire coordinate plane because in step 2, nancy plotted time instead of temperature on the axis.
d. it will not be spread out vertically across the entire coordinate plane because in step 3, nancy plotted temperature instead of time on the y-axis.

1.  It will not be spread out horizontally across the entire coordinate plane because in Step 4, Nancy selected an incorrect scale on the axis.  This is true (though I wouldn't have used the word "incorrect") but the "incorrectness" is relatively small.

2.  It will not be spread out vertically across the entire coordinate plane because in Step 5, Nancy selected an incorrect scale on the y-axis. This is true and the "incorrectness" is relatively large. 

3.  It will not be spread out horizontally across the entire coordinate plane because in Step 2, Nancy plotted time instead of temperature on the axis.  This is plain nonsense!

4.  It will not be spread out vertically across the entire coordinate plane because in Step 3, Nancy plotted temperature instead of time on the y-axis.  This is also plain nonsense!

So, of the options on offer, I think 2. best describes the graph

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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