Which of the following statements are true? Select all that apply.
1 answer:
Answer:
- Both functions have the same slope.
- The origin is the y-intercept for the function expressed in the table.
- The table and the graph express an equivalent function.
Step-by-step explanation:
Both functions have the same slope
The slope is m in the equation; y =mx+c which is the formula for a straight line.
m = change in Y/change in x
Using 2 points: (1,3/4) and ( 4,3) from the table;
= (3 - 3/4) / ( 4 - 1)
= 2.25/3
= 0.75 which is 3/4 which is the same as the slope of the function in the equation.
The origin is the y-intercept for the function expressed in the table.
Slope of function in table is known to be 0.75. Find c to complete equation.
3 = 0.75 ( 4) + c
3 = 3 + c
c = 0
c is the y-intercept. The origin of a line is 0 so if c is 0 then the origin is the y intercept.
The table and the graph express an equivalent function.
The function for the table as calculated is;
y = 0.75x + 0
y = 0.75x
This is the same as the function for the equation for the graph which is y = 3/4x.
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Answer:
The cost would be same after 3 months.
Step-by-step explanation:
Given that:
Charges of first company;
Sign up fee = $76
Per month charges = $40
Let,
x be the number of months
y be the total cost.
y = 40x + 76 Eqn 1
Charges of second company;
Sign up fee = $136
Per month charges = $20
y = 20x + 136 Eqn 2
For same cost,
Eqn 1 = Eqn 2
40x + 76 = 20x + 136
40x-20x = 136 - 76
20x = 60
Dividing both sides by 20
Hence,
The cost would be same after 3 months.
4.5 * (8-) + 36 = 102 - 2.5 * 27
4.5 * 8 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 67.5
36 - 36 = 34.5
Since we know 36 - 36 doesn't equal 34.5 its not true so there is NO ANSWER.
4.5 * 8 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 67.5
36 - 36 = 34.5
Since we know 36 - 36 doesn't equal 34.5 its not true so there is NO ANSWER.