Answer:
The total allowance is $18.5, and the amount spent daily is $3.2
Step-by-step explanation:
let T and x represent the total allowance and the amount spent daily respectively.
It was started that the amount remaining after 2 days is $12.10 , which implies the person has spend an equal amount for 2 days
T - 2x =12.10 (equation 1)
It was started that the amount remaining after 5 days is $2.50 , which also implies the person has spend an equal amount for 5 days
T - 5x =2.5 (equation 2)
subtract equation 2 from 1
T - 2x -( T - 5x ) = 12.10 -2.5
T - 2x -T + 5x = 9.6
3x =9.6
Divide both side by 3
x = 9.6/3 =3.2
from equation 1
T - 2x =12.10
T = 12.10 + 2x = 12.10 + 2*3.2
= 12.10 + 6.4 = 18.5
Answer:
Step-by-step explanation:
Each day, the same amount is spent.
Let X be the initial amount at the beginning of the week, T be the amount spent per day.
i. X - 2T = $12.1
ii. $12.1 - 3T = $2.5
Solving ii,
3T = 12.1 - 2.5
T = 9.6/3
= 3.2
Inputting this value in i,
X = 12.1 + (3.2 * 2)
= $18.5
In slope- intercept form, y = mx + c
Slope,m = y2 - y1/x2 - x1
= 2.5 - 12.1/5 - 2
= $-3.2 /day
y = -3.2x + 18.5.
