We want to create a linear equation to model the given situation.
A) c(r) = $6.00 + $1.50*r
B) 19 rides.
We know that the carnival charges $6.00 for entry plus $1.50 for each ride.
A) With the given information we can see that if you ride for r rides, then the cost equation will be:
c(r) = $6.00 + $1.50*r
Where c(r) is the cost for going to the carnival and doing r rides.
B) If you have $35.00, then we can solve:
c(r) = $35.00 = $6.00 + $1.50*r
Now we can solve the equation for r.
$35.00 = $6.00 + $1.50*r
$35.00 - $6.00 = $1.50*r
$29.00 = $1.50*r
$29.00/$1.50 = r = 19.33
Rounding to the next whole number we get: r = 19
This means that with $35.00, Dennis could go to 19 rides.
If you want to learn more, you can read:
brainly.com/question/13738061
Answer:
1.4
Step-by-step explanation:
Answer:
(-1/2, 23/4)
Step-by-step explanation:
Vertex of graph: -b/2a
b=1
a=1
Therefore, -1/2 is your x-value
Solve for y: y=1/4-1/2+6
y=5 3/4 or 23/4
Therefore your vertex is: (-1/2, 23/4)
Answer: 32
Work:
Equation is:
s= 4b
s=4(8)
s=32
The equation for simple interest is sated as follows:
A=P(1+rt), where A= The accrued amount, P=Principal invested, r=interest rate per year, and t=time in years.
For the amount invested to be atleast double the amount invested (like the current scenario), the inequality would be would be
A≥ P(1+rt) ---- 200≥100 (1+0.05t) ---- 2≥1+0.05t --- t≥(2-1)/0.05 --- t≥20 years
Therefore, for the amount to atleast double, $100 should be invested for atleast 20 years.
