Question

(8) (10,0): nick could buy 10 hotdogs and 0 hamburgers
c (5,0): nick could buy 5 hotdogs and 0 hamburgers
o (0,10): nick could buy 0 hotdogs and 10 hamburgers
(c) what is the y-intercept and what does it represent in the scenario.
a (0,5): nick could buy 0 hotdogs and 5 hamburgers.
® (0,10): nick could buy 0 hotdogs and 10 hamburgers
c (0,0): nick could buy 0 hotdogs and 0 hamburgers.
d (0,6): nick could buy 0 hotdogs and 6 hamburgers.
(d) convert the equation to slope-intercept form.
a y = -0.5x + 10
b y = -0.5x + 6
c y = -0.5x + 5
d y = -0.5x + 6

Explanation:

For part (c), the y - intercept is the point where \(x = 0\) (x represents hotdogs, y represents hamburgers). So when \(x = 0\), we look for the option where hotdogs are 0. The correct option should represent Nick buying 0 hotdogs and a certain number of hamburgers. Among the options, the correct one is the one with \(x = 0\) (hotdogs = 0) and the corresponding y - value (hamburgers) that makes sense. For the slope - intercept form (part d), the slope - intercept form is \(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. We need to identify the equation in this form.

Answer:

(c) The correct option is the one where Nick could buy 0 hotdogs and the corresponding number of hamburgers. For example, if the correct option is D: (0,5): Nick could buy 0 hotdogs and 5 hamburgers.
(d) The correct option for slope - intercept form is the one in the form \(y = mx + b\). For example, if the correct option is B: \(y=-0.5x + 10\) (assuming the context of the problem leads to this slope and y - intercept).

(Note: Since the original problem's full context for the equations and intercepts is not fully clear from the image, the above is a general approach. If more details were provided, the answer could be more precise.)