Unit Conversions
7.2ft converted to inches
What is 86.4in?
A scale in which each equal unit of distance represents addition by a constant value
What is an additive scale?
An exponential function with a growth rate of 17% and initial value of 80
What is y=80(1.17x)?
The amount of money in an account that has a 7% interest rate compounded monthly, 10 years after depositing $500
(rounded to the nearest cent)
What is $1004.83?
This is an equation for the line with a slope of -3 and a y-intercept of 92.
What is y=-3x+92?
18,480ft converted to miles, using the fact that 1mi=5280ft
What is 3.5mi?
A scale in which each equal unit of distance represents a multiplication by a constant base
What is a logarithmic scale?
The value of x in the equation 5=2(1.78x)
(rounded to 2 decimal places)
What is 1.59 years?
The effective rate, where the nominal rate is 8% compounded quarterly
(as a percentage, rounded to 2 decimal places)
What is 8.24%?
This is the length of the hypotenuse of a triangle with leg lengths 5 and 9
(rounded to one decimal place)
What is 10.3?
4.6ft2 converted to in2
What is 662.4in2?
The value of c when 10c=10,475
(rounded to two decimal places)
What is 4.02?
The doubling time of a population that grows according to the model y=40(1.12)t, where t is in years.
(rounded to 2 decimal places)
What is 6.12 years?
The effective rate, where the nominal rate is 4.9%, compounded continuously
(as a percentage, rounded to 2 decimal places)
What is 5.02%?
The equation for the line that passes through the points (1, 2) and (5, 7)
What is y=1.25x+0.75?
8in2 converted to cm2, using the fact that 1in=2.54cm
(rounded to one decimal place)
What is 51.6?
The value of x when 6x=0.0083
(rounded to two decimal places)
What is -2.67?
The amount of rabbits in a population 3 years after an initial population of 250 rabbits, where these rabbits have a growth rate of 45% per year
(rounded to the nearest rabbit)
What are 762 rabbits?
The amount of time it takes for an initial investment of $600 to grow to $3300, in an account that has a 6.5% interest rate compounded annually
(rounded to 2 decimal places)
What is 27.07 years?
If y is inversely proportional to x3 and y=72.9 when x=3, this is the constant of proportionality.
What is 2.7?
162ft3 converted to yd3
What is 6yd3?
The value of x when ex=370
(rounded to 2 decimal places)
What is 5.91?
The amount of time it takes for a rabbit population of 250 to grow to 1000, where these rabbits have a growth rate of 45% per year
(rounded to 2 decimal places)
What are 3.73 years?
The amount of time it takes for an initial investment of $200 to grow to $1000 in an account that has a 5.4% interest rate compounded continuously
(rounded to 2 decimal places)
What is 29.8 years?
The angle that a 10ft ladder leaning against a wall makes with the ground, when the bottom of the ladder is 4ft away from the wall
(in degrees and rounded to the nearest whole number)
What is 66°?