Relating Components of Functions to Their Graphs
On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function curves up into the first quadrant. It goes through (0, 3), (0.5, 5), (1, 10), (1.5, 23), (2, 50).

The given graph represents the function f(x) = 2(5)x. How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0?

The graph will increase at a slower rate.
The graph will show a decreasing, rather than increasing, function.
The graph will show an initial value that is lower on the y-axis.
The graph will increase at a constant additive rate, rather than a multiplicative rate.

answer:   c ?

step-by-step explanation:

answer: 10 turtles

step-by-step explanation: as turtles have four legs so 4.10=40 therefore birds are 4 which sue counted

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)