The phone company splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone if a customer uses 290 minutes the monthly cost will be $98.50 if the customer uses 850 minutes the monthly cost will be $238.50 find any equation in the form y equals mx plus be where x is the number of monthly minutes used and why is the total monthly of the splint plan

Cost per minute m=$0.50...The flat fee b=$35

ANSWER: Equation is y=$0.50x+$35

Step-by-step explanation:y=total cost; b=flat fee, m=cost per minute; x=number of minutes

.  

y=b+mx

.

For x=360 minutes:

$215=b+360m

$215-360m=b

.

For x=800 minutes:

$435=b+800m

$435-800m=b

.  

$435-800m=$215-360m

$220=440m

$0.50=m

.Cost per minute m=$0.50

.

For x=360:

b=$215-360m

b=$215-360($0.50)

b=$215-$180=$35

.

The flat fee b=$35

.

ANSWER: Equation is y=$0.50x+$35

.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!