Algebra 1 - 4.14 Completed Notes 11, 12, 15, 16 - 20

11.A company offers premium cable for $39.95 plus a one-time setup fee.  The total cost for setup and 6 months of seervice is $264.70.  Write and solve a linear equation to find the total cost for 2 years of service.

 $y-264.70=39.95\left(x-6\right)$  

Tags

CCSS.7.EE.B.4A

12.A home security company provides security systems for $5 per week, plus an installation fee. The total fee for 12 weeks of service is $210. Write and solve a linear equation to find the cose of the installation fee.

 $y-210=5\left(x-12\right)$  

Tags

CCSS.7.EE.B.4A

15.The value of a car decreases at a constant rate. After 3 years, the value of the car is $15,000. After 2 years, the value of the car is $11,000. Write and solve a linear equation to find the value of the car after 8 years.

 $y-11,000=-2000\left(x-5\right)$  

16.Customers of a satellilte dish company must pay for installation of the dish, and a monthly fee for service. After 6 months, Ryan had paid $594. After 11 months, he had paid $989. Write and solve a linear equation to find the cost for installation.

 $y-594=79\left(x-6\right)$  

Tags

CCSS.7.EE.B.4A

17.Kate bought $23.40 worth of two types of bird seed. Thistle bird seed sells for $1.60 per pound and wild bird seed sells for $0.95 per pound. If she bought 12 pounds of wild bird seed, write and solve a linear equation to find the amount of thistel bird seed she purchased.
x = Thistle
y = wild

 $1.60x+.95y=23.40$  

Tags

CCSS.8.EE.C.7B

18.Jeff is keeping track of his weight over several weeks. After 2 weeks, he weighs 194 poiunds. After 6 weeks, he weighs 186 pounds. Write and solve a linear equation to find Jeff's weight after 12 weeks.

 $y-194=-2\left(x-2\right)$  

Tags

CCSS.HSF-LE.A.1B

19.A landscape supply business chares $35 to deliver mulch. The cost of the mulch is $29 per cubic yard. Write and solve a lienar equation to find the cost of having 6 cubic yards of mulch delievered to a site.

 $y=29x+35$  

Tags

CCSS.8.EE.C.7B

20.Hallie used a birthday check her mother gave her to start a savings account. She plans to save $25 per month as well. After 9 months, Hallie has $300. Write and solve a linear equation to find the original check amount from Hallie's mother.

 $y-300=25\left(x-9\right)$  

Tags

CCSS.7.EE.B.4A