IM Algebra 1 Unit 4 Assessment Review

Front

What is the equation for the distance a car can travel using gallons of gas?

Back

The equation is m = 40g, where m is the distance in miles and g is the gallons of gas.

Front

What is the inverse function of m = 40g?

Back

The inverse function is g = \frac{m}{40}, which represents gallons of gas as a function of distance.

Front

How do you find the cost of a party with n people if the cost function is C(n) = 50 + 4n?

Back

Substitute n with the number of people. For 15 people, C(15) = 50 + 4(15) = 50 + 60 = 110.

Front

What does the inverse function of c(n) = 50 + 4n represent?

Back

It represents how many gym visits can be made if the monthly cost is known.

Front

How do you find the inverse of the function c(n) = 50 + 4n?

Back

To find the inverse, solve for n: n = \frac{c - 50}{4}.

Front

What is the total cost for a movie passholder who watches 5 movies?

Back

The total cost is $25, calculated as 5 movies x $5 per movie.

Front

What is the range of the function C for the movie theater pass?

Back

The range is multiples of $5 from $0 to $25.

Front

What is the cost function for visiting a gym defined as c(n) = 50 + 4n?

Back

This function indicates that there is a base cost of $50 plus $4 for each visit.

Front

If the monthly cost is $100, how many gym visits does that correspond to?

Back

Using the inverse function, n = \frac{100 - 50}{4} = 12.5, which means 12 visits (since you can't visit half a time).

Front

What is the cost of a party with 10 people if the cost function is C(n) = 50 + 4n?

Back

C(10) = 50 + 4(10) = 50 + 40 = $90.