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Noor has money in a piggy bank. The amount of money, A, in her piggy bank changes daily and is related to the number of days, d, that have passed since she started keeping track of money in her bank. (a) Suppose Noor has $9.35 in her piggy bank at the start and adds 50¢ per day. Write a linear equation to represent how A is related to d. (b) Identify the starting amount and savings rate modeled by each equation. A = 11.65 + 0.70d A = 6.90 + 0.35d (c) Suppose that instead of adding 50¢ per day, Noor takes out 50¢ per day. Write a new linear equation to model this situation and graph it
ok. so: A: f(x) = 9.35 + 50x
(a) The amount $9.35 represents the y-intercept, and the amount 50¢ represents the slope of the linear equation. Using the slope-intercept form of a line and replacing y with A and x with d, the linear equation is A = 0.50d + 9.35. (b) For the equation A = 11.65 + 0.70d, the starting amount is $11.65 and the savings rate is 70¢/day. For the equation A = 6.90 + 0.35d, the starting amount is $6.90 and the savings rate is 35¢/day.
found for a and b r thess right?
For B i would just graph it knowing that the dependent variables are the starting price...
(c) If Noah takes 50¢ out of the piggy bank each day, the slope of the linear equation modeling this situation would be −0.50. Since the piggy bank originally contained $9.35, the linear equation modeling this situation is A = −0.50d + 9.35. To graph the linear equation, find the d-intercept by replacing A with 0 and solve for d: A = −0.50d + 9.35; 0 = −0.50d + 9.35; 0 − 9.35 = −0.50d + 9.35 − 9.35; −9.35 = −0.50d; _− −_09_..53_05_ = −−_0_0.5._50_0d_ ; 18.7 = d. The d-intercept is 18.7. Using the A-intercept of 9.35 and a d-intercept of 18.7, you can graph the linear equation.
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