A street sign is 88 inches tall how tall is it in feet and inches
1 answer:
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Answer:
True Statements are -
B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.
D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.
Step-by-step explanation:
Given - Ted and Jude are each saving money each month. After x months, the amount of money, in dollars, that Ted has saved is represented by the
equation T = 40x, and the amount of money that Jude has saved is represented by the equation J = 60x.
To find - Choose all of the statements that are true.
A. Each month, Jude saves two-thirds as much money as Ted saves.
B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.
C. The amount of money Jude saves each month is $20 more than the amount Ted saves each month.
D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.
Proof -
Given that,
After x months,
Ted saved the amount of money, T(x) = 40x
Jude saved the amount of money, J(x) = 60x
Now,
In 1 month,
Ted saved money, T(1) = 40(1) = 40
Jude saved money, J(1) = 60(1) = 60
So,
In 1st month, Jude saved money 20 more than Ted saved.
Now,
In 2 month,
Ted saved money, T(2) = 40(2) = 80
Jude saved money, J(2) = 60(2) = 120
So,
In 2nd month, Jude saved money 40 more than Ted saved.
Now,
In 3 month,
Ted saved money, T(3) = 40(3) = 120
Jude saved money, J(3) = 60(3) = 180
So,
In 3rd month, Jude saved money 60 more than Ted saved.
So,
Option C is incorrect
Because
In 1st month, Jude saves is $20 more than the amount Ted saves
In 2nd month, Jude saves is $40 more than the amount Ted saves
Now,
In 1st month,
Ted saves = 40
and
= 26.67
So, Jude will save = 40 + 26.67 = 66.67
But Jude saves 60
So,
Option A is incorrect.
i.e. A. Each month, Jude saves two-thirds as much money as Ted saves.
Now,
We can see that,
In 3 months, Ted will have saved the money = 120
In 2 months, Jude will have saved the money = 120
So,
Option B is correct.
i.e. B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.
Also,
We can see that
In 1st month, Jude saved money 20 more than Ted saved.
In 2nd month, Jude saved money 40 more than Ted saved.
In 3rd month, Jude saved money 60 more than Ted saved.
So,
Option D is correct.
i.e. D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.
∴ we get
True Statements are -
B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.
D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.
Answer:
(d) No. Slope is not constant.
Step-by-step explanation:
You want to know if the given graph shows a linear function.
<h3>Linear function</h3>The graph of a linear function is a straight line. The points on the graph shown do not form a straight line, so the function is nonlinear.
<h3>Rate of change</h3>The rate of change of a function is the ratio of "rise" to "run" between two points in the graph. This ratio is also called the "slope." For a straight line, the rate of change (slope) is constant. That is, a linear function has a constant rate of change.
If the function is nonlinear, its rate of change is not constant. The converse is also true: if the slope is not constant, the function is nonlinear.
