A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, the sales totaled $252. If the number of lattes sold was 6 more than 4 times the number of cappuccinos, how many lattes were sold?

Explanation:

This is a typical problem to solve with a system of two linear equations.

1. Name the variables:

2. First equation:

First equation: 4L + 3C = 252

3. Second equation:

Second equation: L = 6 + 4C

4. Solve the system:

Substitute L on the first equation with 6 + 4C

Solve:

Subsitute C = 12 in L = 6 + 4C

54 lattes were sold

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

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the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: