Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 day period it is not
used
aWrite and solve an equation for the number of 30-day periods until the value of the gift cards will be equal
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30 day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation.)
Answers
Answer:
(a). 20 ; (b). $10.00 ;
Step-by-step explanation:
(a). 70 - 3x = 80 - 3.50x
- 3x + 3.50x = 80 - 70
0.5x = 10
x = 10 ÷ 0.5
x = 20 ( 30-day periods )
(b). $70.00 - $3.00(20) = $10.00
The number of days will be 20 days. Then the values of the gift cards will be equal and will be $10.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 days period it is not used.
Let y be the amount left of gift cards after x days and x be the number of days. Then the equation will be
y = 80 - 3.5x ...1
y = 70 - 3x ...2
From equations 1 and 2, we have
80 - 3.5x = 70 - 3x
0.5x = 10
x = 10 / 0.5
x = 20 days
The values of the gift cards will be equal and will be
y = 80 - 3.5(20)
y = 80 - 70
y = $10
The values of the gift cards will be equal and will be $10.
More about the solution of the equation link is given below.
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Answer:
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Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (3, 1)
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Step-by-step explanation:
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