p.341: 7
The Strauss family is deciding between two lawn-care service. Green Lawn charges a $49 startup fee, plus $29 per month. Grass Team charges a $25 startup fee, plus $37 per month.
a.
cost be?
In how many months will both lawn-care services cost the same? What will that
3 months; $136 b.
If the family will use the service for only 6 months, which is the better option?
Green Lawn; for 6 months. Green Lawns service costs only $223, while Grass
Explain.
Team's costs
$247.
p.340: 17
Casey wants to buy a gym membership. One gym has a $150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month.
a.
cost be?
In how many months will both gym memberships cost the same? What will that
6 months; $360 b.
If Casey plans to cancel in 5 months, which is the better option for him? Explain.
The second option; for 5 months. It costs only $300, while the other option costs $325.
p.341: 24
Justin and Lacee are taking a walk. Justin walks at a rate of 6 ft/s, while Lacee walks at 4 ft/s. Lacee starts 10 ft ahead of Justin.
a.
After how many seconds will Lacee and Justin be next to each other? What distance be?
will that
5 s; 30 ft b.
Justin?
16s
How many seconds will it take for Justin to catch up to Lacee if she starts 32 ft ahead of
p.341: 27
Helene invested a total of $1000 in two simple interest bank accounts. One account paid 5% annual interest; the other paid 6% annual interest. The total amount of interest she earned after one year was $58. Write and solve a system of equations to find the amount invested in each account.
x + y = 1000
0.05x + 0.06y = 58 $800 at 6%
$200 at 5%
p.341: 32
Tricia and Michael share a cell phone plan. Together, they made a total of 52 calls last month for a total of 620 min. Tricia averaged 15 min for each of her calls, while Michael averaged 10 mins.
a.
How many calls did Tricia make last month? Michael?
20; 32 b.
How many calls did Tricia make if the total number of calls was 60?
p.341: 35
At a school store, Juanita bought 2 books and a backpack for a total of $26 before tax. Each book cost
$8 less than the backpack.
book and the a.
Write a system of equations that can be used to find the price of each price of the backpack.
2x + y = 26 x = y - 8 b.
Solve the system by substitution.
book $6; backpack $14 c.
Solve this system by graphing. Discuss advantages and disadvantages of solving by substitution and solving by graphing.
x is already isolated so substitution works well.