Question

10. Raquel earned $105 for baking

7 pies. The following week she
earned $60 for baking 4 pies.
(A) Write an equation Raquel can
use to find out how much she will
earn if she bakes x number of pies.
(B) Then find out how many pies
she must make to earn $165.

Answer 1

Raquel earns $15 per pie, so the equation for her earnings based on the number of pies baked is Earnings = $15x. To earn $165, she must bake 11 pies, as determined by dividing $165 by the rate of $15 per pie.

Step-by-step explanation:

To assist Raquel in determining her earnings for baking x number of pies, we need to establish a linear equation based on the given information. From the first week, Raquel earned $105 for baking 7 pies, which gives us $105/7 = $15 per pie. The second week, she made $60 for 4 pies, which also results in $60/4 = $15 per pie. This consistent rate confirms that Raquel earns $15 per pie regardless of the number of pies baked.

(A) Given this, the equation to find out how much she will earn for baking x pies is:

Earnings = 15 × number of pies

Which can be written as:

Earnings = $15x

(B) To find out how many pies she needs to bake to earn $165:

We set up the equation $15x = $165. Dividing both sides by $15, we find that x = $165/$15

x = 11 pies

Thus, Raquel must bake 11 pies to earn $165.

Answer 2

Step-by-step explanation:

(7,105) , (4,60)

slope = (y2 - y1) / (x2 - x1)

slope = (60 - 105) / (4 - 7) = -45/-3 = 15

y = mx + b

slope(m) = 15

(4,60)...x = 4 and y = 60

now we sub and find b, the y int

60 = 15(4) + b

60 = 60 + b

60 - 60 = b

0 = b

so ur equation is : y = 15x <===

how many pies must be made to make 165... so we sub 165 in for y in the equation and solve for x, the number of pies needed

y = 15x

165 = 15x

165/15 = x

11 = x <=== she would have to sell 11 pies