Question
Last year Aaliyah ordered 4 cubic yards of oil soil and spent $220 this year 7 yd of soil and spent $340 right the equation of the linear functions models the relationship between the number of cubic yards of soil ordered and the total cost into your answer and y equals mx + B4
Answers
Answered by
GPT 3.5
For Aaliyah's order last year:
Total cost = m(4) + b
220 = 4m + b
For Aaliyah's order this year:
Total cost = m(7) + b
340 = 7m + b
Subtracting the equation for last year from the equation for this year gives:
120 = 3m
m = 40
Now substitute m back into the equation for last year:
220 = 4(40) + b
220 = 160 + b
b = 60
Therefore, the linear function that models the relationship between the number of cubic yards of soil ordered and the total cost is:
Total cost = 40x + 60
Total cost = m(4) + b
220 = 4m + b
For Aaliyah's order this year:
Total cost = m(7) + b
340 = 7m + b
Subtracting the equation for last year from the equation for this year gives:
120 = 3m
m = 40
Now substitute m back into the equation for last year:
220 = 4(40) + b
220 = 160 + b
b = 60
Therefore, the linear function that models the relationship between the number of cubic yards of soil ordered and the total cost is:
Total cost = 40x + 60