1. -3/2
2. -1/2
3. 1.3
4. 1 1/2
Answer:
The area of the right triangle is 262.5
Step-by-step explanation:
Complete question :
Cheddar Cheese
$3/lb
Swiss Cheese
$5/lb
Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Answer:
10 lbs of cheddar cheese
6 lbs of Swiss cheese
$3a + $5b = $30
Step-by-step explanation:
Given that :
Cheddar cheese = $3/lb
Swiss cheese = $5/lb
Total amount budgeted for cheese = $30
How many pounds of cheese can Keisha get if she buys only Cheddar cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of cheddar cheese
$30 / 3 = 10 pounds of cheedar cheese
Only Swiss cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of Swiss cheese
$30 / 5 = 6 pounds of Swiss cheese
A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Let amount of cheddar cheese she can get = a
Let amount of Swiss cheese she can get = b
Hence,
(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount
(3 * a) + (5 * b) = $30
$3a + $5b = $30
Options :
A. Every year the number of subscribers is estimated to increase by 8 over the number
of subscribers the year before.
B. Every year the number of subscribers is estimated to increase by 8% of the original
20,000 subscribers
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
D. Every year the number of subscribers is estimated to increase by 80% of the
original 20,000 subscribers.
Answer:
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
Step-by-step explanation:
Given that:
The formula represents an exponential function :
S = 20,000 (1 + 0.08)^y
General form of an exponential equation :
y(x) = ab^x
Where a = initial value ; b = rate of change ; x = time
Comparing the formula given with the general equation:
a = 20000 = Number of subscribers when company began
b^x = (1 + 0.08)^y = percentage increase in the number of subscribers over y years
