Answer:
hours
Step-by-step explanation:
Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

Now, secondly, we have r = 45 and k = 80, we need to find t:

So, it would take
hours
Answer:
The algebraic expression is 80d
Step-by-step explanation:
Maria's earnings per day = $80
Number of days= d
Total earnings for d days:
80d
Where,
80 is earnings per day
d is number of days
The algebraic expression is 80d
Algebraic equation is
y= 80d
Where
y= total income earned in d days
The expression is different from am equation because of the equal to sign(=)
A^2 + b^2 = c^2
3^2 + 8^2 = c^2
9 + 64 = c^2
73 =c^2
take the square root of each side
c= 8.544
Part A
The exponential model that describes the situation
The formula is
Y (x)=400 (1+0.02/4)^4x
Y (x)=400 (1+0.005)^4x
Y (x)=400 (1.005)^4x
Where x is the number of years
Part B
The value of the account after 5 years
Y (5)=400×(1.005)^(4×5)
Y (5)=441.96