Given the equation of a line of the form: y = mx + c, where m is the slope and c is the y-intercept.
y is the dependent variable while x is the independent variable.
The value c represents the initial value of the situation represented by the line. i.e. the value of the dependent variable (y) when the independent variable (x) is 0.
The value m is the slope and represents the amount with hich the dependent variable increases for each additional increase in the value of the independent variable.
Thus, given the equation: <span>y=11.984x+15.341,
where: y represents the total number of shorts sold each day, and x represents the day’s high temperature in °F.
The slope is 11.984 or approximately 12 and it represents the increase in the number of shorts sold for each additional increase in temperature.
Therefore, </span><span>the slope of the equation represents in context of the situation that '</span><span>The vendors will sell an additional 12 pairs of shorts for every 1° increase in temperature.' (option B)</span>
Answer:
Family will save 3600 gallons of water by replacing the shower-heads.
Step-by-step explanation:
Number of family members in a family = 5
Each member of the family averages shower per day = 8 minutes
Total time for shower = 5×8 = 40 minutes
With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons
Water consumption in 30 days = 200×30 = 6000 gallons per month
After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day
Water used in one month = 80×30 = 2400 gallons
Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons
Therefore, family will use 3600 gallons less water by replacing the water saving water heads.
14,999(1+.o825)^4= 20,595. $429x48 months= 20,592
Interest rate 8 1/4%
Check 20592/14999= 1.37289
Log(1.37289)/ log(1.0825)= 3.99 years
Slope is the rise and run of a point on the graph to the other
the y intercept is where a line crosses the y axis for example, (0,5) so 5 is the y intercept
(0,8), (1,10), (2, 12), (3, 14), (4, 16), (5, 18)
