**Problem 1 :**

Ken has a weekly goal of burning 2400 calories by taking brisk walks. The equation y = -300x + 2400 represents the number of calories y Ken has left to burn after x hours of walking which burns 300 calories per hour.After how many hours of walking will Ken have 600 calories left to burn ? After how many hours will he reach his weekly goal ?

**Problem 2 : **

Jose wants to buy a new game system that costs $200. He does not have enough money to buy it today, so he compares layaway plans at different stores. Store A requires an initial payment of $60 and weekly payments of $20 until the balance is paid in full. The plan at Store B is shown on the graph.

Based on the information given above, find which store allows Jose to pay for the game system faster.

**Problem 1 : **

Ken has a weekly goal of burning 2400 calories by taking brisk walks. The equation y = -300x + 2400 represents the number of calories y Ken has left to burn after x hours of walking which burns 300 calories per hour.After how many hours of walking will Ken have 600 calories left to burn ? After how many hours will he reach his weekly goal ?

**Solution : **

**Step 1 :**

** y = -300x + 2400**

The y-intercept is b = 2400. Plot the point that contains the y-intercept : (0, 2400).

**Step 2 : **

Write the slope as a fraction.

m = -300/1 = -600/2 = -900/3

Using the slope as -900/3 helps in drawing a more accurate graph.

The slope is m = -900/3. Use the slope to find second a point. Since the slope = rise / run, from (0, 2400), count down 900 units and right 3 units.

Then, the new point is (3, 1500).

**Step 3 : **

Draw a line through the points.

**Step 4 : **

To find after how many hours of walking will Ken have 600 calories left to burn,

Locate 600 calories on the y-axis. Read across and down to the x-axis.

From the graph, we can know that Ken will have 600 calories left to burn after 6 hours.

**Step 5 : **

Ken will reach his weekly goal when the number of calories left to burn is 0. Because every point on the x-axis has a y-value of 0, find the point where the line crosses the x-axis.

Ken will reach his goal after 8 hours of brisk walking.

**Problem 2 :**

Jose wants to buy a new game system that costs $200. He does not have enough money to buy it today, so he compares layaway plans at different stores. Store A requires an initial payment of $60 and weekly payments of $20 until the balance is paid in full. The plan at Store B is shown on the graph.

Based on the information given above, find which store allows Jose to pay for the game system faster.

**Solution : **

**Step 1 :**

To find which store allows Jose to pay for the game system faster, let us have the deals offered by store A and B as equations.

Write an equation in slope-intercept form for Store A’s layaway plan.

Let x represent number of weeks and y represent the total money to be paid.

y = 20x + 60

**Step 2 :**

Write an equation in slope-intercept form for Store B’s layaway plan.

Let x represent number of weeks and y represent the total money to be paid.

From the graph, y - intercept is 100 and the slope is 10

y = 10x + 100

**Step 3 :**

In both the stores A and B, find the value of "x" (no. of weeks) for y = $200 (Total money to be paid).

**Store A**

200 = 20x + 60

140 = 20x

7 = x

**Store B**

200 = 10x + 100

100 = 10x

10 = x

The total amount $200 is completed in 7 weeks in store A and in 10 weeks in store B.

So, store A allows Jose to pay for the game system faster.

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**