Answer:
Step-by-step explanation:
A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.
A. The cost at the fitness center depends on the number of months (x).
The cost is the dependent variable, and number of months (x) is the independent variable.
f(x) = 100 + 40x
Example, the cost paid for 12 months can be determined as;
f(12) = 100 + 40(12)
= 100 + 480
= 580
Thus, $580 would be paid for 12 months at the fitness center.
B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.
The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.
So that;
f(x) = 1.69x
The cost of 10 pounds of lettuce can be determined as;
f(x) = 1.69(10)
= 16.9
Thus, the cost of 10 lb of lettuce is $16.90.
Answer:
1. C
2. D
Step-by-step explanation:
1.
Pattern A is adding by 2's (1 -> 3, 4 -> 6, 7 -> 9 and so on).
Pattern B is multiplying by 2's (2 -> 4, 3 -> 6, 4 -> 8 and so on).
2.
If 0.25 gallons of paint = 24 ft^2, then 1 gallon will equal?
Set up an equation:
Variable x = area of ft^2 for 1 gallon of paint
0.25/24 = 1/x
Cross multiply
0.25 × x = 24 × 1
0.25x = 24
To make calculations easier, you can convert the decimal into a fraction: 0.25 = 1/4
1/4x = 24
Multiply both sides by 4
1x = 96
x = 96 ft^2
Check your work:
0.25/24 = 1/96
0.25 × 96 = 24 × 1
24 = 24
Correct
<span>15 is 10% what number? in equation form is 15/10% = X.We need to first convert the percentage to an equivalent decimal to do our calculation.<span>Converting a percentage to a decimal we remove the percentage sign and divide by 100.</span></span>
Answer:
Cost price of each candy = $0.80, Selling price of each candy = $1.40
Step-by-step explanation:
Given:
Ramiro buys 50 packs of candy bars for $40 before a tax of 7.5%.
He sells each candy var for 175% of what he paid before tax.
Question asked:
How much does he buy each candy bar for ?
How much does he sell one for ?
Solution:
<u>By unitary method:</u>
Cost of 50 packs of candy bars = $40
Cost price of 1 pack of candy bars = 
Cost price of each candy = $0.80
Thus, he buy each candy bar for $0.80
Now:-
As he sells each candy var for 175% of what he paid before tax:-
Selling price of each candy = 0.80
175%
= 
Thus, he sell one candy for $1.40
Answer:
22.5 square feet
Step-by-step explanation:
Hope this helps.