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7. a restaurant charges $10 for each burrito, and a $5 delivery fee. a.…

Question

  1. a restaurant charges $10 for each burrito, and a $5 delivery fee.

a. what is the total cost to have 4 burritos delivered?
b. write an equation to represent the total cost, y, to have x burritos delivered.
c. graph the relationship between total cost and number of burritos

Explanation:

Part a

Step1: Calculate cost of burritos

Each burrito is $10, for 4 burritos: \( 10 \times 4 = 40 \)

Step2: Add delivery fee

Delivery fee is $5, so total cost: \( 40 + 5 = 45 \)

Step1: Define cost components

Cost of \( x \) burritos: \( 10x \), delivery fee: \( 5 \)

Step2: Form total cost equation

Total cost \( y = 10x + 5 \)

Step1: Identify key points

When \( x = 0 \) (no burritos), \( y = 5 \) (delivery fee). When \( x = 1 \), \( y = 15 \); \( x = 2 \), \( y = 25 \), etc.

Step2: Plot points and draw line

Plot (0,5), (1,15), (2,25), etc. on the graph (x-axis: number of burritos, y-axis: cost) and draw a straight line through them. The line has a slope of 10 (cost per burrito) and y-intercept 5 (delivery fee).

Answer:

\$45

Part b