Question

Gloria is an artist and is making paintings for a show 6 months from now. She made a purchase of items she would need in order to create her paintings. The paints and brushes she purchased were enough for all of her paintings for a 6 month period. She also need canvas' to paint on and planned to purchase them as needed over the 6 month period. The equation to represent her total cost is given by T = $38.40c + $2,472.00 where T is the total cost and c is the number of canvas' Gloria purchased. Choose 3 answers to answer the 3 questions. a) How much did Gloria pay for the brushes and the paints? b) How much will Gloria pay for each canvas? c) If Gloria makes a total of 35 paintings, what is her total cost?

Answer 1

$2,472 ; 38.40 ; $3816

Explanation:

Given the equation to represent Gloria's cost of painting :

T = $38.40c + $2,472.00 ;

T = total cost ; c = number of canvas' Gloria purchased

General form of a slope-intercept equation :

y = mx + c

m = gradient ; c = intercept

Cost of brushes and paint corresponds to the intercept of the equation : since she has already gotten them on ground.

Hence, Cost of brushes and paint is $2472

B.) cost of each canvas is denoted by the slope of the model = $38.40

C.) if number of painting made = 35

Number of canvas, c = 35

Total cost :

T = 38.40(35) + 2,472.00

Total cost = $3816