Answer:
t = 3c - 5
Step-by-step explanation:
The relation between c and t is linear as the increase of the value of t is uniform for each unit increase in the value of c.
Now, any two points on the graph of the t = f(c) equation are sufficient to determine the equation.
Let the points are (2,1) and (3,4).
So, using two points formula of straight line we get the equation is
⇒ t - 4 = 3(c - 3)
⇒ t - 4 = 3c - 9
⇒ t = 3c - 5 (Answer)
STEP-BY-STEP SOLUTION:
= 4x^2 + 27 - 7
= 4x^2 + 20
= 4 ( x^2 + 5 )
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Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation
2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13
so the solution is (-17/13, 38/13)
There are 52 weeks in a year and if she gets paid every two weeks then divide 52 by 2 to get 26 so she would get paid 26 times a year so divide her annual salary by 26 to get $1,346.15 every other week. So her biweekly salary is $1,346.15.
