Question

Cora and Daniel are both saving money each month. The total amount in their savings accounts is a function of the number of month

they have been saving. Each account is represented below.
Cora: y = 65x + 100, where y represents the total amount and x represents number of months
Daniel:

Answer 1

Cora

Daniel

Daniel

Explanation:

Forming equation for Daniel's saving from the plot:

Slope, m :

m = y2 - y1 / x2 - x1

m = (300 - 150) / (3 - 1)

m = 150 /2

m = 75

Intercept, c ; value of y when, x = 0

c = 75

Daniel's equation :

y = 75x + 75

Initial amout is described by intercept

Cora's intercept = 100

Daniel's intercept = 75

Rate is described by the slope

Daniel = 75

Cora = 65

So, Daniel is saving at a faster rate ; 75 to Cora's 65

Amount after 6 months :

After 6 months

y = 75*6 + 75 = $525

Cora:

y = 65x + 100

y = 65*6 + 100 = $490