Answer:
an=9+(n−1)3, an=3n+6
Step-by-step explanation:
Arithmetic Sequence:
d=3
This is the formula of an arithmetic sequence.
an=a1+d(n−1)
Step 1: Substitute in the values of
a1=9 and d=3.
an=9+(3)(n−1)
Step 2: Simplify each term.
an=9+3n−3
Step 3: Subtract 3 from 9.
an=3n+6
Answer:
y = 0.15x+77 is the equation linear connecting total cost y and miles driven x
Step-by-step explanation:
Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.
Let flat rental fee be c and cost per mile driven = m and miles driven = x
Total cost =y
Then y = mx+C is the linear equation.
to find m and c, we use the fact that y =110.30 when x = 222
i.e. 110.30 = c+222x
and similarly 99.05 = c+147x
Subtract to eliminate c
11.25 = 75 x
0.15 =x
Substitute in I equation
110.30 = c+222(0.15)
c = 77
y = 0.15x+77 is the equation linear connecting total cost y and miles driven x
C would show a proportional relationship based on the point graphed because it can be simplified into c which this is not true for any of the other points
