Answer:
A. 15 mo; $875
B. 5 mo; $250
Step-by-step explanation:
A. <em>Gym fees
</em>
Let n = no. of months
<em>Community Gym</em>: Fees = 50 + 55n
<em>Workout Gym:</em> Fees = 200 + 45n
When the fees are equal,
50 + 55n = 200 + 45n Subtract 50 from each side
55n = 150 + 45n Subtract 45n from each side
10n = 150 Divide each side by 10
n = 15
<em>Community Gym</em>: Fees = 50 + 55n
Fees = 50 + 55×15
Fees = 50 + 825
Fees = $875
<em>Workout Gym</em>: Fees = 200 + 45n
Fees = 200 + 45×15
Fees = 200 + 675
Fees = $875
After 15 mo, the fees at each gym will be equal at $875.
B. <em>Computer
</em>
Option 1: Savings = 200 + 10n
Option 2: Savings = 100 + 30n
When the savings are equal,
200 + 10n = 100 + 30n Subtract 100 from each side
100 + 10n = 30n Subtract 10n from each side
100 = 20n Divide each side by 20
n = 5
<em>Option 1</em>: Savings = 200 + 10n
Savings = 200 + 10×5
Savings = 200 + 50
Savings = $250
<em>Option 2</em>: Savings = 100 + 30n
Savings = 100 + 30×5
Savings = 100 + 150
Savings = $250
After five months, the savings by either option will be equal at $250.
The range of the function c = 50t + 200 is given by [200, ∞).
<h3>What is a
linear equation?</h3>
A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let c represent the distance travelled in t hours, hence:
c = 50t + 200
The range of the function c = 50t + 200 is given by [200, ∞).
Find out more on linear equation at: brainly.com/question/12788590
Answer:
15
Step-by-step explanation:
The price of the bag at the pharmacy is
2/3 * 12 = 8 dollars
You have enough for 10 at the gift shop
10 * 12 = 120
Take 120 dollars and divide by 8 dollars to see how many you can get at the pharmacy
120/8 =15
Answer:
I cant see the sactter plot for the 1st question so i cant answer but the 2nd one is c
Step-by-step explanation:
Use the slope formula y2-y1/x2-x1
3-(-7)/1-(-1) = 10/2 = 5
To find the y-intercept:
y=5x+b
3=5(1)+b
3 = 5+b
-5 -5
-2=b
The equation of the line that passes through (-1,-7) and (1,3) is
y=5x-2