Tavon has a gift card for 115 that loses 2.50 for each 30-day period it is not used. He has another gift card for 95 that loses 2 for each 30-day period it is not used. a. Write 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? If x is the number of 30-day periods, then the equation
nothing can be used to find the number of 30-day periods until the values of the gift cards will be equal

a) Equation: 115 - 2.5x = 95 - 2x

ii) x = 40

b) The value of each gift card for which they'll be equal = 15

Step-by-step explanation:

a) Equation for the number of 30 days until the value of the gift cards are equal:

card 1: gift card for 115 that loses 2.50 for each 30-day period

115 - 2.5x - - - - (1)

card 2: gift card for 95 that loses 2 for each 30-day period

95 - 2x - - - - - - (2)

equation for the number of 30 day period (x) for which the amount on card 1 is eqaul to the amount on card 2 is given by:

115 - 2.5x = 95 - 2x

making x the subject of the formula:

115 - 95 = -2x + 2.5x

20 = 0.5x - - - - (i)

x = 20 ÷ 0.5

x = 40

b) the value on the gift card

From expression 1 above; 115 - 2.5x

where x = 40

115 - 2.5x = 115 - 2.5(40)

= 115 - 100 = 15

from expression (2); 95 - 2x

95 - 2(40) = 95 - 80 = 15

∴ The value of each gift card for which they'll be equal = 15

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3